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Paper Citation Record · LEDGER

The asymptotic Mahler measure of Gaussian periods

As of 12 August 2026, this Paper Citation Record lists 100 of 111 outbound references and 1 inbound Pith citation observation for arXiv:2507.09303.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.09303 v3

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measured 100 of 111 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T18:11:24.599163Z

measured 101 of 101 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:33:53.290932Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-07T13:33:56.106437Z

Reference resolution

100 of 111 outbound references displayed

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Outbound references

Observation d70754a3-fd1b-4b4d-b6d0-1e3d8368a05e · outbound

This paper cites Stegun,Handbook of mathematical functions with formulas, graphs, and mathematical tables, Applied Mathematics Series, vol.

The asymptotic Mahler measure of Gaussian periods Stegun,Handbook of mathematical functions with formulas, graphs, and mathematical tables, Applied Mathematics Series, vol

Reference 1

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Observation 190ad368-2cf8-4d55-9072-46602ea0dcd1 · outbound

This paper cites Tichy,On functions of bounded variation, Math.

The asymptotic Mahler measure of Gaussian periods Tichy,On functions of bounded variation, Math

Reference 2

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Observation 036e8189-bc82-4175-9f3e-7d09d45d0f42 · outbound

This paper cites Number Theory129(2009), no.

The asymptotic Mahler measure of Gaussian periods Number Theory129(2009), no

Reference 3

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source=pdf_text observed=2026-08-06T18:11:19.479721Z digest=sha256:3f6cfcf44843f95f5df0f9ecbbba3308ff30a34ab10eb7c93a717751d5d0b382

Observation 3d21ad5e-a929-4592-966d-2af28ed8b75b · outbound

This paper cites Akki and Fred Haber,A statistical model of mobile-to-mobile land communication channel, IEEE Transactions on Vehicular Technology35(1986), no.

The asymptotic Mahler measure of Gaussian periods Akki and Fred Haber,A statistical model of mobile-to-mobile land communication channel, IEEE Transactions on Vehicular Technology35(1986), no

Reference 4

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Observation 60a4def5-3595-45ef-8737-2a7a50a142af · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 5

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Observation b0969379-0976-424e-8c8e-8fabe6a39b3e · outbound

This paper cites Number Theory80(2000), no.

The asymptotic Mahler measure of Gaussian periods Number Theory80(2000), no

Reference 6

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Observation 0c25c538-0a26-4991-ab10-9dadc3744aed · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 7

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Observation 24d91e96-da38-479a-be50-7eccc07373d3 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 8

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Observation 37da9413-4822-41fa-894a-856993f37dda · outbound

This paper cites PM66, SPIE Press, 1999.

The asymptotic Mahler measure of Gaussian periods PM66, SPIE Press, 1999

Reference 9

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Observation 4f6592bf-b2d9-4cdd-8d9b-ebb81e758ed6 · outbound

This paper cites Bailey and Jonathan M.

The asymptotic Mahler measure of Gaussian periods Bailey and Jonathan M

Reference 10

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Observation a2151940-18dc-41f9-8a0f-782566beac1d · outbound

This paper cites Math.233(2023), no.

The asymptotic Mahler measure of Gaussian periods Math.233(2023), no

Reference 11

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Observation 8d754520-ccd1-4bbb-b34b-ff263bd762e2 · outbound

This paper cites Batyrev,Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J.

The asymptotic Mahler measure of Gaussian periods Batyrev,Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J

Reference 12

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Observation c784b16d-279f-4246-b230-3b0c3360096b · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 13

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Observation cee66e77-db1a-488a-a641-b481f9054208 · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 14

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Observation b537e642-b102-47b9-9b6a-09b7dd30e1a7 · outbound

This paper cites Poularikas, ed.), The Electrical Engineering Handbook Series, CRC Press, Boca Raton, FL; IEEE Press, New York, 1996.

The asymptotic Mahler measure of Gaussian periods Poularikas, ed.), The Electrical Engineering Handbook Series, CRC Press, Boca Raton, FL; IEEE Press, New York, 1996

Reference 15

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Observation a18a6c25-7f39-4ceb-88a1-78dcecb55365 · outbound

This paper cites ed., Chichester: John Wiley & Sons Ltd., 1995.

The asymptotic Mahler measure of Gaussian periods ed., Chichester: John Wiley & Sons Ltd., 1995

Reference 16

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Observation 268c3319-236f-4ebe-a34f-fc89ac4746b8 · outbound

This paper cites Friedlander, and Henryk Iwaniec,Primes in arithmetic progressions to large moduli.

The asymptotic Mahler measure of Gaussian periods Friedlander, and Henryk Iwaniec,Primes in arithmetic progressions to large moduli

Reference 17

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Observation e90b6a2c-ffd6-4f75-b758-3295fceaafc4 · outbound

This paper cites Borwein, Armin Straub, James Wan, and Wadim Zudilin,Densities of short uniform random walks, Canad.

The asymptotic Mahler measure of Gaussian periods Borwein, Armin Straub, James Wan, and Wadim Zudilin,Densities of short uniform random walks, Canad

Reference 18

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Observation 568bb984-f48b-4433-9543-0d3af6daf550 · outbound

This paper cites Boyd,Kronecker’s theorem and Lehmer’s problem for polynomials in several variables, J.

The asymptotic Mahler measure of Gaussian periods Boyd,Kronecker’s theorem and Lehmer’s problem for polynomials in several variables, J

Reference 19

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Observation adeebab2-7287-4fd0-8100-112975835cdf · outbound

This paper cites Number Theory 13(1981), no.

The asymptotic Mahler measure of Gaussian periods Number Theory 13(1981), no

Reference 20

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Observation 8dac2536-c678-4ee0-85b2-e79fa7258ad3 · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 21

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Observation 05a623ea-94c1-47e8-9146-d31769116593 · outbound

This paper cites CRM11(2005), no.

The asymptotic Mahler measure of Gaussian periods CRM11(2005), no

Reference 22

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Observation 8a340199-0f21-40ae-8bcb-3c41095f7161 · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 23

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Observation 31a51cc4-431f-46f7-9dea-3d2ef40e0cc4 · outbound

This paper cites On the Mahler measure of $(1+x)(1+y)+z$.

The asymptotic Mahler measure of Gaussian periods On the Mahler measure of $(1+x)(1+y)+z$

Reference 24

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Observation 6bb7005f-af4a-4e6e-84bd-3e2aef145db5 · outbound

This paper cites 28, Cambridge University Press, Cambridge, 2020.

The asymptotic Mahler measure of Gaussian periods 28, Cambridge University Press, Cambridge, 2020

Reference 25

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Observation da1e0aa0-606a-4ddc-adc1-75b8556309b0 · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

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Observation 8c32f92f-39b0-4453-a97b-1f31d0724753 · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

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Observation 0aca18f8-d062-4cef-89f0-2ada375cf736 · outbound

This paper cites Ultramétrique, 12e année 1984/85, No.

The asymptotic Mahler measure of Gaussian periods Ultramétrique, 12e année 1984/85, No

Reference 28

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Observation 5ee6a4b8-9a39-46b3-8b40-c598bce6d5d4 · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 29

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Observation 3ba73424-d7fb-4492-ad95-3c82f64ce45b · outbound

This paper cites Cox, John B.

The asymptotic Mahler measure of Gaussian periods Cox, John B

Reference 30

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Observation e1e0c913-45ec-412e-8604-66ab80ecebdd · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 31

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Observation 14e05ccf-e65b-4ae5-972c-8dc7e48cc053 · outbound

This paper cites 11, 1945–2001.

The asymptotic Mahler measure of Gaussian periods 11, 1945–2001

Reference 32

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Observation df4f2db4-32a2-44d8-9161-05f89ec43197 · outbound

This paper cites Dolgachev,Classical algebraic geometry.

The asymptotic Mahler measure of Gaussian periods Dolgachev,Classical algebraic geometry

Reference 33

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Observation 8a44c416-479b-4874-96ed-476ee3887801 · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 34

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Observation a8985281-ea68-4131-8939-d0406840f2ba · outbound

This paper cites 168, Springer-Verlag, New York, 1996.

The asymptotic Mahler measure of Gaussian periods 168, Springer-Verlag, New York, 1996

Reference 35

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Observation 697df579-7c3f-428c-9b92-e32d958d4f20 · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 36

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Observation a4dfdb2f-80f0-4a5f-959d-cc95f28943fe · outbound

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The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 37

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Observation 5645f8f2-c442-4e74-836d-dfad2fc8a9dd · outbound

This paper cites Konyagin, and Florian Luca,Prime chains and Pratt trees, Geom.

The asymptotic Mahler measure of Gaussian periods Konyagin, and Florian Luca,Prime chains and Pratt trees, Geom

Reference 38

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Observation fe7e7d11-5039-4144-9c92-38d56167ce4d · outbound

This paper cites 14, Academic Press, Inc., Boston, MA, 1993.

The asymptotic Mahler measure of Gaussian periods 14, Academic Press, Inc., Boston, MA, 1993

Reference 39

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:21.547389Z digest=sha256:d130202e76e9e43f805842d470997428f6c2adfde77efeffdfae6ed3b799a6ec

Observation 917451ba-7d46-492d-99d0-f18a48f75e9c · outbound

This paper cites Gradshteyn and Iosif M.

The asymptotic Mahler measure of Gaussian periods Gradshteyn and Iosif M

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:34.958211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:21.588856Z digest=sha256:4337354d12194482cd024f6341e9633e63860cbcbff7427cc373a8d61bd202b7

Observation fd93530b-0a5b-40f4-b1bd-038df877d32f · outbound

This paper cites de Koninck, C.

The asymptotic Mahler measure of Gaussian periods de Koninck, C

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:34.875933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:21.622165Z digest=sha256:bf21ff74bc1d05e0c5e244451f35dd15049dbb36e8547afbc020faff520ade52

Observation 58175291-dc6d-4724-a21e-cb7074388264 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:34.793186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:21.655601Z digest=sha256:67177273ae046d730ea041897763954f8d55e24cb2c1d7c83466948f27d28a87

Observation 5d9b6e8a-83a5-499e-b6cd-6d9ffd9d6ede · outbound

This paper cites Math.11(1970), 263–292.

The asymptotic Mahler measure of Gaussian periods Math.11(1970), 263–292

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:34.720869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:21.701216Z digest=sha256:146e2b3fffc7b1c6cf74c52e2b8a073b300ac3fc1fa6739aaafeda3666d5c1c0

Observation 36e7e8d9-2854-498b-b033-ae2189b294a9 · outbound

This paper cites A Wiley-Interscience Publication.

The asymptotic Mahler measure of Gaussian periods A Wiley-Interscience Publication

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:34.634962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:21.753694Z digest=sha256:11dce318504fd53ae5a466e5bb726a0e77e333d8af8b4fb69c16530960f2db0d

Observation da2d2eae-dce4-4201-9233-540015e4e520 · outbound

This paper cites Geom.2(2015), no.

The asymptotic Mahler measure of Gaussian periods Geom.2(2015), no

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:34.532950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:21.829980Z digest=sha256:2bd12035a90e57c8c960a02a9718b7765498617b2d510d4126e102bd42b60372

Observation b2c87ef3-c15a-4be1-b89a-098ed0343c99 · outbound

This paper cites Augmenté de deux exposés de M.

The asymptotic Mahler measure of Gaussian periods Augmenté de deux exposés de M

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:34.356948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:21.888314Z digest=sha256:42e7424a7a0300a8793578c47170e2e4950dd2bea664e3db292bbf334c3b9c14

Observation d95717f5-12cc-4bef-a178-0a68b1ca624e · outbound

This paper cites Texts Math., vol.

The asymptotic Mahler measure of Gaussian periods Texts Math., vol

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:34.282707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:21.951639Z digest=sha256:6fb77cbb5aee3a0f4a13aa930e330ae7195a778a0bcddf77672864109d5ada1f

Observation b5fd58d7-3820-4730-b4d5-ddee72daf94f · outbound

This paper cites Ziegler,Basic properties of convex polytopes, Handbook of discrete and computational geometry, CRC Press Ser.

The asymptotic Mahler measure of Gaussian periods Ziegler,Basic properties of convex polytopes, Handbook of discrete and computational geometry, CRC Press Ser

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:34.202860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.000105Z digest=sha256:c1bfaf10bdd955272769ee02fe0b9576e63d4b4dbc96ca2a94df44b400a19c7e

Observation 53b8c923-f102-42a1-b545-2fddbc39d564 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:34.095848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.025721Z digest=sha256:073eea534fe3e2d1147163ef2a8264efef85dddc1f9d746bb016a1c3a5336082

Observation c8740ec6-9828-400e-81dc-a6ea319858ef · outbound

This paper cites Hobson and William A.

The asymptotic Mahler measure of Gaussian periods Hobson and William A

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:33.900958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.063143Z digest=sha256:b6ac9fc56e7252dfa73b9085f1417cd90bd8081321bdaa22fd15e1371d493f65

Observation 4780486f-4839-476d-acb1-715cb4bb8a50 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:33.792030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.090992Z digest=sha256:974831fbb28fb8ef104430d2e337e33950d093fbae479302606696c2693f0112

Observation 8e5b4a53-b283-45f9-8e6c-81d343691b4c · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:33.700143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.124408Z digest=sha256:940b1b44074e266af57f5cef0bea777a19ed13166abb61ad41609dbd1b637d1e

Observation 4924f6aa-0359-4956-b71c-3bebec07ab8e · outbound

This paper cites Publ., Am.

The asymptotic Mahler measure of Gaussian periods Publ., Am

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:33.524965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.176157Z digest=sha256:4a7b5715acdf4d55bc0a0dc624d292b0de8f70b1150cfeaa28f3de18a4e07f96

Observation 09a33a6e-6d78-4bdf-b12a-752b62fbcb3b · outbound

This paper cites Number Theory269(2025), 78–105.

The asymptotic Mahler measure of Gaussian periods Number Theory269(2025), 78–105

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:33.391804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.206306Z digest=sha256:4146b643748a57a654955a57f138f46f43ec9f558945b28650e055e33f75b297

Observation 33ee1483-494b-4442-a051-2abc360d1cf3 · outbound

This paper cites Sci., vol.

The asymptotic Mahler measure of Gaussian periods Sci., vol

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:33.236107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.234033Z digest=sha256:d9ec5c19c32093232bf468b472942ecac5f394f6bd9b6ccea3557184345c01c5

Observation 79ff2d7b-3baf-4013-9023-2a8dc4bf5111 · outbound

This paper cites Systems9 (1989), no.

The asymptotic Mahler measure of Gaussian periods Systems9 (1989), no

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:33.074358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.279974Z digest=sha256:f2b8eb330018517d36264edd2e9be9c6dcde030bf3c44c0208618a93d6e801ed

Observation 5f0d3725-5fdb-4181-af3d-1862342b9070 · outbound

This paper cites Kluyver,A local probability problem, Nederl.

The asymptotic Mahler measure of Gaussian periods Kluyver,A local probability problem, Nederl

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:32.852554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.339710Z digest=sha256:f80607020e44e22fa3836686fa977f8610dab00b9c7dd0ec5f89d73bf937ad0a

Observation 220bdac7-dbe8-49fc-b38a-4d10f72e7d39 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:32.663992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.362769Z digest=sha256:515823f137cc791b186ac29b5dcb9546ed68575e88873d7242b344bf9910cd75

Observation ad4dd14f-fc3b-4163-b3f6-3ff70cf938cf · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:32.493855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.393848Z digest=sha256:28f666ec6204411d15eda0ad90d72fc3248fdbc335c146a174673122160c1f3c

Observation 35ae760c-90ce-490c-a6c6-e55b2248751a · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:32.394841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.475856Z digest=sha256:634c3d47ebd99ee649d16c8090e8a0a3be7664d9e34e2b9cc79c6b6e8b86326a

Observation 41c406f3-775e-4bc4-8e62-236233e33d86 · outbound

This paper cites Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields.

The asymptotic Mahler measure of Gaussian periods Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T18:11:22.628736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:11:22.628736Z digest=sha256:aae312f2b697857734bc13252dcbea598ef44c486adf29bac7e25040b14b0827

Observation 081688bf-a70e-43dd-8ebf-44c05cdfdfcb · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:32.257832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.763537Z digest=sha256:74332f3ecf7e9ef7a03d9bd68b72141fa9bc975f7555200712dabb5e7eeb0ae6

Observation 1d06dbd1-d59e-439c-a795-c6388006f61f · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-06T18:11:22.874791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:11:22.874791Z digest=sha256:f3e01529e243928e57fcd99ca102c52d78d89a28e759db3636165dde0cf40713

Observation d4b88c08-4c2f-443c-949d-c83bc2ba43cb · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:32.058686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.957527Z digest=sha256:4432362efd7846cbff6736d2f35ec933ca9709b6339396b621ab54894217e4ae

Observation 4d0b7aeb-55f3-4054-8372-5a9a75a141d0 · outbound

This paper cites Lagarias and Günter M.

The asymptotic Mahler measure of Gaussian periods Lagarias and Günter M

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:31.919890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:22.999612Z digest=sha256:88d887142b21fcb917e2eeac9232e244d8e97a43af2687d6425ff02d73fc809d

Observation f1cf2056-8568-45b3-b197-2a5c2c720786 · outbound

This paper cites Comput.85(2016), no.

The asymptotic Mahler measure of Gaussian periods Comput.85(2016), no

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:31.843325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.057373Z digest=sha256:5f069e9500c404c4edc9bd28836d2c5416eff4375bf962ff42d32bd73def8173

Observation 2591bf4d-8129-4902-a417-197dd1cb4891 · outbound

This paper cites Lalín and Mathew D.

The asymptotic Mahler measure of Gaussian periods Lalín and Mathew D

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:31.752185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.102638Z digest=sha256:19445efbfe811690451c47a09ed47385e75816d8a9b8c1ee4d2c9e44e8f593e1

Observation e5680446-8bde-4fc1-bbc3-fd1528903564 · outbound

This paper cites Comput.84(2015), no.

The asymptotic Mahler measure of Gaussian periods Comput.84(2015), no

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:31.655695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.144362Z digest=sha256:b1250a593ac6c04dd84d702a676f5c373a65510784905a44bd9c0cb508ff011d

Observation ae206611-65f1-4464-b9f6-caf5c23d5eb2 · outbound

This paper cites Landau,Bessel functions: monotonicity and bounds, J.

The asymptotic Mahler measure of Gaussian periods Landau,Bessel functions: monotonicity and bounds, J

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:31.480705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.177457Z digest=sha256:6a5213300c801eb1b21714e2b6c97b6daa0d356aef6e71e0232a97c1ab88fdd5

Observation 701b9e38-f5b2-49d0-b021-ed03bffafe5a · outbound

This paper cites Lawton,A generalization of a theorem of Kronecker, J.

The asymptotic Mahler measure of Gaussian periods Lawton,A generalization of a theorem of Kronecker, J

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:31.399379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.214950Z digest=sha256:614eea5155c38ab76dcea690e77b9bc8c7c74b3610058c65dbebff79778f9863

Observation 04207af4-93a3-4bf8-8f8f-416b40ea50c6 · outbound

This paper cites Lehmer,Factorization of certain cyclotomic functions, Ann.

The asymptotic Mahler measure of Gaussian periods Lehmer,Factorization of certain cyclotomic functions, Ann

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:31.326586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.285468Z digest=sha256:44cd03344b70539ed98971a00a743ed7eb4cd83f9802cef41306605acad3c8da

Observation 4d45c0e8-6f84-4a48-ae61-a3617c6b5ced · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:31.180567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.324288Z digest=sha256:648d471b2185d4d1fddbfdcdd477a304f20d731b8ab7b0a77766550fd46b7d6e

Observation daa972cd-9941-46cc-a0f4-6748b0992d7e · outbound

This paper cites Math.101(1990), no.

The asymptotic Mahler measure of Gaussian periods Math.101(1990), no

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:30.996871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.380718Z digest=sha256:fdab1549cfd1a74666dee05146c51cc1d675d0be1e9150ebaf04243548afc3db

Observation 5637d0e1-3246-498a-8d83-f7ce98299ad9 · outbound

This paper cites Algebra113(1988), no.

The asymptotic Mahler measure of Gaussian periods Algebra113(1988), no

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:30.833165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.434184Z digest=sha256:37e311d3e0f91b81bea28eaecaedd664f3bfc871f7367f902e6e0dbf5bbacfc0

Observation d100eeff-2958-4e17-bebf-31e7fb67708a · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:30.646898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.481983Z digest=sha256:e3e03b1a2563ef0b7571bb9f4fd929bd44c44abc894bc10f16378a33a3384d38

Observation c6af2bc8-53b1-45c6-96b1-5cfd26cb3f0d · outbound

This paper cites J.11(1964), 257–262.

The asymptotic Mahler measure of Gaussian periods J.11(1964), 257–262

Reference 76

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:30.422504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.518793Z digest=sha256:67062838e1836bb5429bce0c6309c3b881892f7d5e1ea5c1be5f2f1e0a02f6b7

Observation a72f3616-082d-4438-8b94-9e54a6120bb3 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 77

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:30.311991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.572357Z digest=sha256:5d87320d2f1552058be3155e73849fcb2906116364ee3834241ce9478bd94263

Observation 993a2414-c21c-4a5a-b742-16c37da82777 · outbound

This paper cites Marcus,Number fields, second ed., Universitext, Springer, Cham, 2018.

The asymptotic Mahler measure of Gaussian periods Marcus,Number fields, second ed., Universitext, Springer, Cham, 2018

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:30.228420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.618924Z digest=sha256:63c814757e81d4003da2fe98b4575976a244abf140bd3e39173c93335e9b2ab5

Observation 48f683f2-f7fc-45cb-a43c-6dfa89b9ab3a · outbound

This paper cites Martin and Victor Reiner,Cyclotomic and simplicial matroids, Israel J.

The asymptotic Mahler measure of Gaussian periods Martin and Victor Reiner,Cyclotomic and simplicial matroids, Israel J

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:30.131632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.664199Z digest=sha256:a715780b3d0469c06001bab6ccf9b08940b2541dcb6c245f722e01ad13d84a31

Observation 3d93f11f-11d0-4efa-9191-d1630e4b787e · outbound

This paper cites Milnor,Morse theory.

The asymptotic Mahler measure of Gaussian periods Milnor,Morse theory

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:30.049875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.740247Z digest=sha256:15de2eca084eb7390b975f31d3f4ae773865dc255db9dff74501d320724c2003

Observation acc70a1e-2169-48c6-b3f7-aea6d36f98b5 · outbound

This paper cites Mityagin,The zero set of a real analytic function, Math.

The asymptotic Mahler measure of Gaussian periods Mityagin,The zero set of a real analytic function, Math

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:29.942902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.821355Z digest=sha256:18551c77ea4c2be630207a80f301ec052884c9578b73e2d5d6a69138bae9e732

Observation d422ecdc-575e-4dd1-bd71-56aef40f7422 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 82

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:29.840165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.869164Z digest=sha256:3f8911aed5ff0f14403bc12a12613553538ba910dd51bd906d374830d5d622f2

Observation 77c6bd9b-af4d-492f-9b66-68cae6a3edef · outbound

This paper cites On measures of polynomials in several variables.

The asymptotic Mahler measure of Gaussian periods On measures of polynomials in several variables

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:29.705956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.905962Z digest=sha256:3e0ee62918401fccb15a5fade1f1c1947a66cca0aa4ac5da59955a6ab38003b0

Observation 05c55b80-d26f-4dbf-bb44-543c28248bdc · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 84

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:29.567897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.962239Z digest=sha256:883f18eedf4f723ca58bdbd5adebccce9311bfd740028384936ce9c87013eeab

Observation de862a2d-fb51-46ca-abaa-170b0dda5c47 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 85

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:29.413210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:23.997275Z digest=sha256:ca8a3284ecaa2246982478cddadeca0ba7102f697f9c49e4e31f924cfd87a2f1

Observation 4776cedf-acef-4b5c-bbea-6f9fa9f282f9 · outbound

This paper cites an introduction to the theory of toric varieties, Ergebn.

The asymptotic Mahler measure of Gaussian periods an introduction to the theory of toric varieties, Ergebn

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:29.339780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.039010Z digest=sha256:fe9e11324363fc4c45dd5d9997a7aabc75cdb1521e8715b80dd03f33d196e862

Observation 7747d2e5-9060-421c-b4c7-2d772cfcd7d1 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 87

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:29.164050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.079315Z digest=sha256:a1feb5d246792525455b292ed9d6a18cc4b5a4e275786756ca8bc8c7c4a643ef

Observation 1e8f5ab9-7391-4728-b9be-76908f419f9f · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 88

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:29.049943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.127262Z digest=sha256:33b902e6c42d87b7eeee0acd5ce2bfeb754f88a01385682fcd814aa05c8595ad

Observation f99297b9-b5df-4c70-a262-58abab6aacc8 · outbound

This paper cites Ponomarev,Submersions and preimages of sets of measure zero, Sib.

The asymptotic Mahler measure of Gaussian periods Ponomarev,Submersions and preimages of sets of measure zero, Sib

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:28.860219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.163196Z digest=sha256:6302711f7fa40f71c01d50d2f4c2a4bf57d24e55895f8ff21646abda5b0ab2fe

Observation 5324066b-8098-4404-ac93-5683eb435ea1 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 90

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:28.698820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.201928Z digest=sha256:285bbcbbf54eb0c8762e95528748e69b673884db1660b3dd369f593a71779f1d

Observation ebcafe24-abda-4f9d-9039-9b52467db70e · outbound

This paper cites Vaaler,Estimates for Mahler’s measure of a linear form, Proc.

The asymptotic Mahler measure of Gaussian periods Vaaler,Estimates for Mahler’s measure of a linear form, Proc

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:28.502312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.237574Z digest=sha256:2927c0e31e8724820e4883b98612f363677348eec89be65c6fbbcf6cc9b9ffc5

Observation af6de4e8-bded-459b-a03a-6bdeb0f172cc · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 92

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:28.302723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.282569Z digest=sha256:a1716266eef7d63fd6fd20dc5a2e2ad21581671759e4e38f77f600bf4ae8ab38

Observation 06df5199-fd64-4a03-9730-0dad3871096b · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 93

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:28.076102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.314275Z digest=sha256:48c0cf2b1c88072638b1e042128f8caa7b21db42e6b46eaf00af62e0ffd34096

Observation be58b903-2bdc-4a36-a8b5-3f94388ce9fb · outbound

This paper cites 128, Birkhäuser Ver- lag, Basel, 1995.

The asymptotic Mahler measure of Gaussian periods 128, Birkhäuser Ver- lag, Basel, 1995

Reference 94

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:27.887826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.356515Z digest=sha256:6d284182e11b38f95747f0ee19f7b888f61878f78f1086d6a515c221fcd85ebd

Observation 0e2ebf2e-9c78-4650-9c03-fd0c4d42ef3e · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 95

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:27.667640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.390980Z digest=sha256:2e9752aefafa50469ee68cf6f5301e0fddff854bf68b71209f12f6ea4eac9c71

Observation 8169e2cd-5aae-42a2-b2b0-900f72f88e1a · outbound

This paper cites Silver and Susan G.

The asymptotic Mahler measure of Gaussian periods Silver and Susan G

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:27.413639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.439047Z digest=sha256:2b04fdc78c447369ec525fb0e7a1fa71346d602f39ec691877ac81a395bc9d58

Observation ba215cf0-edfe-4845-89c4-3fc1923389e0 · outbound

This paper cites II, Rocky Mountain J.

The asymptotic Mahler measure of Gaussian periods II, Rocky Mountain J

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:27.156547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.476053Z digest=sha256:4cf52c04745e7f3f08aa3c92572a69198c1283445d48f6249e9f5f4e882a4009

Observation 76c2b270-5edb-43c7-b7a5-28158a218f50 · outbound

This paper cites Smyth,On the product of the conjugates outside the unit circle of an algebraic integer, Bull.

The asymptotic Mahler measure of Gaussian periods Smyth,On the product of the conjugates outside the unit circle of an algebraic integer, Bull

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:11:26.919554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.513646Z digest=sha256:81a1485959d9278dc23ddcdd1bbce1ab60adc5ce5154031741157e8881ce59e3

Observation 1e81d554-f918-4ca1-9418-7fb18d071930 · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 99

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:26.674813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.556637Z digest=sha256:231aedf201454f818e6c3275a15feb6e5abd38d0c5ccb2138f867df023c9d4b1

Observation cdc6b14f-8b55-4feb-8d60-7915d22480bc · outbound

This paper cites an unresolved cited work.

The asymptotic Mahler measure of Gaussian periods Unresolved cited work

Reference 100

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:11:26.480810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T18:11:24.599163Z digest=sha256:5c889bb24ed1c7138a4b5b48b7fe6d79fffa170496f34a231e303cd051708f71

Pith citing papers

Observation bed6069b-e668-4130-b89e-3ff9e41cc79c · inbound

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields cites this paper.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields The asymptotic Mahler measure of Gaussian periods

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:33:56.226748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:33:53.290932Z digest=sha256:52331254c29ef1435fcd63cbf33b1cb6dd374b706c4249dae5169a015b5b6839