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Paper Citation Record · LEDGER

Squarefree numbers in short intervals: explicit and formalized

As of 11 August 2026, this Paper Citation Record lists 100 of 300 outbound references and 0 inbound Pith citation observations for arXiv:2608.06682.

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

pith.paper-citation-record.v1
2608.06682 v1

Coverage vector

measured 100 of 300 reference resolution

Typed states for the displayed outbound observations.

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measured 100 of 100 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

100 of 300 outbound references displayed

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External citation measurements

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Outbound references

Observation ed9b8e90-a277-40ea-a081-93dad2a4050b · outbound

This paper cites Squarefree numbers in short intervals , url =.

Squarefree numbers in short intervals: explicit and formalized Squarefree numbers in short intervals , url =

Reference 1

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Squarefree numbers in short intervals: explicit and formalized 2024 , month = jan, number =

Reference 2

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This paper cites Rydin Myerson and Pankaj Vishe , display-string =.

Squarefree numbers in short intervals: explicit and formalized Rydin Myerson and Pankaj Vishe , display-string =

Reference 3

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Squarefree numbers in short intervals: explicit and formalized Number theory (

Reference 4

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This paper cites Non-split sums of coefficients of.

Squarefree numbers in short intervals: explicit and formalized Non-split sums of coefficients of

Reference 5

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Squarefree numbers in short intervals: explicit and formalized Acta Math

Reference 6

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Squarefree numbers in short intervals: explicit and formalized Opera de cribro , url =

Reference 7

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 8

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 9

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 10

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Squarefree numbers in short intervals: explicit and formalized Analytic number theory , url =

Reference 11

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Squarefree numbers in short intervals: explicit and formalized Primes represented by incomplete norm forms , url =

Reference 12

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Squarefree numbers in short intervals: explicit and formalized Linear equations in primes , url =

Reference 13

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Squarefree numbers in short intervals: explicit and formalized II , author =

Reference 14

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 15

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Squarefree numbers in short intervals: explicit and formalized The quantitative behaviour of polynomial orbits on nilmanifolds , url =

Reference 16

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 17

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Squarefree numbers in short intervals: explicit and formalized 2021 , month =

Reference 18

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Squarefree numbers in short intervals: explicit and formalized and Ruzsa, I

Reference 19

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Squarefree numbers in short intervals: explicit and formalized , TITLE =

Reference 20

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Squarefree numbers in short intervals: explicit and formalized and Perelli, A

Reference 21

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Squarefree numbers in short intervals: explicit and formalized New large value estimates for Dirichlet polynomials , url =

Reference 22

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Squarefree numbers in short intervals: explicit and formalized L^1 means of exponential sums with multiplicative coefficients

Reference 23

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Squarefree numbers in short intervals: explicit and formalized On gaps between squarefree numbers

Reference 24

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Squarefree numbers in short intervals: explicit and formalized 2021 , month =

Reference 25

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Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 26

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Squarefree numbers in short intervals: explicit and formalized Explicit Formulas for the Waldspurger and Bessel Models , url =

Reference 27

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Squarefree numbers in short intervals: explicit and formalized Effective Multiplicity One for GL(n) , url =

Reference 28

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Squarefree numbers in short intervals: explicit and formalized The fourth moment of the zeta-function , url =

Reference 29

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Squarefree numbers in short intervals: explicit and formalized Iwahori-Hecke Algebras

Reference 30

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Squarefree numbers in short intervals: explicit and formalized On the realisation of maximal simple types and epsilon factors of pairs

Reference 31

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Squarefree numbers in short intervals: explicit and formalized A motivated introduction to character sheaves and the orbit method for unipotent groups in positive characteristic

Reference 32

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Squarefree numbers in short intervals: explicit and formalized Multiplicity one Conjectures

Reference 33

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Squarefree numbers in short intervals: explicit and formalized The sixth power moment of Dirichlet L-functions

Reference 34

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Observation 7a1f840f-d619-47a0-b55a-4a7bf05d8139 · outbound

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Squarefree numbers in short intervals: explicit and formalized Quantum unique ergodicity for

Reference 35

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Squarefree numbers in short intervals: explicit and formalized Multiplicity one theorems for Fourier-Jacobi models

Reference 36

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Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 37

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Squarefree numbers in short intervals: explicit and formalized Recent developments in mathematical Quantum Chaos

Reference 38

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Squarefree numbers in short intervals: explicit and formalized and Michel, Philippe and Venkatesh, Akshay , booktitle =

Reference 39

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no resolver link, observed 2026-08-10T22:35:33.069854Z

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source=arxiv_source observed=2026-08-10T22:35:33.069854Z digest=sha256:d0ef34ff9b4051b2847439cc8cd3da42bb80624835de880db9d225068c6b8781

Observation d9aa4919-be2e-4407-a980-ec97d82b72a2 · outbound

This paper cites Mass Equidistribution for Automorphic Forms of Cohomological Type on GL_2.

Squarefree numbers in short intervals: explicit and formalized Mass Equidistribution for Automorphic Forms of Cohomological Type on GL_2

Reference 40

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source=arxiv_source observed=2026-08-10T22:35:33.077255Z digest=sha256:9a2963a59ea71ff3d26da7be89be72486086ec505a787c4670017a30fc3bf467

Observation 4f68c7ca-48ec-40c7-9da7-dcb75adc2d12 · outbound

This paper cites Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables , url =.

Squarefree numbers in short intervals: explicit and formalized Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables , url =

Reference 41

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source=arxiv_source observed=2026-08-10T22:35:33.086622Z digest=sha256:3367fb1f3d2c67226440943703aebcb55a75c2ea3fb061fdea10ca2d9d9d9cce

Observation f73d7de5-2a50-4d16-8193-fd36860d24c1 · outbound

This paper cites Computing power series expansions of modular forms.

Squarefree numbers in short intervals: explicit and formalized Computing power series expansions of modular forms

Reference 42

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source=arxiv_source observed=2026-08-10T22:35:33.098562Z digest=sha256:0eb9fa785423a14d2df07e6fd76ae306b4c01bd122e124aebd8739c61af52165

Observation 09d1e4c8-91b9-4707-9a92-79dcb9387b76 · outbound

This paper cites The regularized.

Squarefree numbers in short intervals: explicit and formalized The regularized

Reference 43

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.108647Z digest=sha256:04abe23f22e5bf50a40971d0416c944c36580a554bd0dfec34c60466f2fb1687

Observation e2e0c1d7-093a-4f9d-878e-14fb7edae78a · outbound

This paper cites , display-string =.

Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 44

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source=arxiv_source observed=2026-08-10T22:35:33.114786Z digest=sha256:4400e56f3bf13bf862c386228687d633214c96553b42d1d0cb422894527390ff

Observation 1efec2df-5057-4968-b6ec-4c22dbaf352f · outbound

This paper cites Unitary representations of real reductive groups.

Squarefree numbers in short intervals: explicit and formalized Unitary representations of real reductive groups

Reference 45

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source=arxiv_source observed=2026-08-10T22:35:33.120553Z digest=sha256:f230fd7a1611de6fac4d5450040a7e96e71b254f7d0892acfc4378c043d5a7ff

Observation c5f779c6-4b5d-4410-95b3-49d6a77a56eb · outbound

This paper cites and Zhao, P.

Squarefree numbers in short intervals: explicit and formalized and Zhao, P

Reference 46

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.127695Z digest=sha256:e5642de96e58f346790df939f7d7d75b38d4e3a2bdc44f2f6a6914b38c27c57f

Observation 0fbbd5f2-928f-4da0-97d0-1fc07b44bac3 · outbound

This paper cites A Note on the Fourier coefficients of half-integral weight modular forms.

Squarefree numbers in short intervals: explicit and formalized A Note on the Fourier coefficients of half-integral weight modular forms

Reference 47

Resolution
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local_arxiv, observed 2026-08-10T22:35:35.992570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.140432Z digest=sha256:4dc493f8ee241adb045ebddc9c76b37e54c3b402918ccb12a8e5a3e95b9931fc

Observation 44de3267-b445-4d2d-96e5-de677fc657cb · outbound

This paper cites The Whittaker period formula on Metaplectic SL(2).

Squarefree numbers in short intervals: explicit and formalized The Whittaker period formula on Metaplectic SL(2)

Reference 48

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no resolver link, observed 2026-08-10T22:35:33.153142Z

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source=arxiv_source observed=2026-08-10T22:35:33.153142Z digest=sha256:411690aab93af1cf7cc54189b25d6b0c2bd978a647edfb4de370ec72e7ad9caa

Observation 337a26f3-a563-408b-aa84-31bde6cd6fa1 · outbound

This paper cites Families of.

Squarefree numbers in short intervals: explicit and formalized Families of

Reference 49

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no resolver link, observed 2026-08-10T22:35:33.159343Z

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source=arxiv_source observed=2026-08-10T22:35:33.159343Z digest=sha256:1cb208464bbb0bfbecc286a3f0cea25ff031f2b44f8c35792c6755fccc6bdb5b

Observation 4284028b-9402-4606-a2d6-03f947ec5383 · outbound

This paper cites On the sup-norm of SL(3) Hecke-Maass cusp forms.

Squarefree numbers in short intervals: explicit and formalized On the sup-norm of SL(3) Hecke-Maass cusp forms

Reference 50

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source=arxiv_source observed=2026-08-10T22:35:33.166060Z digest=sha256:001bfce1ba6681a27fd622b641afb942175f6b70bebbb21c491a419faeb3f27e

Observation 9b1f3624-c2fb-4ced-8e5b-af06bd551636 · outbound

This paper cites Subconvexity for sup-norms of cusp forms on.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for sup-norms of cusp forms on

Reference 51

Resolution
verified exact
doi, observed 2026-08-10T22:35:35.964034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.175308Z digest=sha256:c8b6a625382e109cbc75ee67e38ff1c5cd13515554a4dfae797aa7f191c856ba

Observation 3a39bfe1-816e-47a2-90f2-d4b0d33086e4 · outbound

This paper cites Upper bounds for Maass forms on semisimple groups.

Squarefree numbers in short intervals: explicit and formalized Upper bounds for Maass forms on semisimple groups

Reference 52

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no resolver link, observed 2026-08-10T22:35:33.182008Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.182008Z digest=sha256:25c977fcf17cf56ea7ce252514731d223cfe5340299be2892775eb66636e8e14

Observation 8b2b389b-ad72-4fd1-bbe7-f6270e63ac7d · outbound

This paper cites Sub-Weyl subconvexity for Dirichlet L-functions to prime power moduli.

Squarefree numbers in short intervals: explicit and formalized Sub-Weyl subconvexity for Dirichlet L-functions to prime power moduli

Reference 53

Resolution
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no resolver link, observed 2026-08-10T22:35:33.190283Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.190283Z digest=sha256:7f5d84fae886e86b7c59e7493057fa712bcb94e4432eb50a6346a30442ca1178

Observation e22263fe-f872-441c-a9c7-fcdf93e51ca3 · outbound

This paper cites Triple product formula and mass equidistribution on modular curves of level N.

Squarefree numbers in short intervals: explicit and formalized Triple product formula and mass equidistribution on modular curves of level N

Reference 54

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no resolver link, observed 2026-08-10T22:35:33.198379Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.198379Z digest=sha256:afa7f37a8805edacb031d5e17499eb8a1f3041155b8730d2e5e800192b4e9774

Observation b0489df5-3cc5-48f7-ba65-118e2bd07921 · outbound

This paper cites Large values of cusp forms on GL(n).

Squarefree numbers in short intervals: explicit and formalized Large values of cusp forms on GL(n)

Reference 55

Resolution
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.207692Z digest=sha256:3c53cfecf8829a9dd3ac44c85e966c358e21009053d4c564f0317eda554e3cd9

Observation 20d2b033-0f04-45b5-a698-1755dc6b7cdd · outbound

This paper cites Integer points and their orthogonal lattices , url =.

Squarefree numbers in short intervals: explicit and formalized Integer points and their orthogonal lattices , url =

Reference 56

Resolution
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no resolver link, observed 2026-08-10T22:35:33.218428Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.218428Z digest=sha256:7bb5d8b8cfc27d8bc75b61528769cfd010490837996f5eba9054cecad5e542db

Observation f2df9296-9c97-4bf8-a6ef-e7f8d77dfcac · outbound

This paper cites The amplification method in the context of GL(n) automorphic forms , url =.

Squarefree numbers in short intervals: explicit and formalized The amplification method in the context of GL(n) automorphic forms , url =

Reference 57

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no resolver link, observed 2026-08-10T22:35:33.223420Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.223420Z digest=sha256:14e172360e8cad22f02aa272dbf3617dafaf5fdaa89b13fce813ba3fdbedc2a4

Observation 52c67283-469e-4247-b642-2a02e31b03fc · outbound

This paper cites On the subconvexity problem for L-functions on GL(3).

Squarefree numbers in short intervals: explicit and formalized On the subconvexity problem for L-functions on GL(3)

Reference 58

Resolution
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no resolver link, observed 2026-08-10T22:35:33.230427Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.230427Z digest=sha256:e96e56d44e924dfec4b616ee8c62fdf42fe1663eba0cb9cfacbd3a3d42e0c255

Observation 18af4b2e-f36b-475c-a9e6-29fb31dab51a · outbound

This paper cites Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n).

Squarefree numbers in short intervals: explicit and formalized Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n,R)/SO(n)

Reference 59

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no resolver link, observed 2026-08-10T22:35:33.238100Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.238100Z digest=sha256:a2a9090bdafb4b1cf293324b41f7f9002bc9f5cc51911e0991ac8145d4c707fe

Observation 97b2d4ad-ba50-42de-bdbf-4f6abc7ce077 · outbound

This paper cites Effective equidistribution of shears and applications , url =.

Squarefree numbers in short intervals: explicit and formalized Effective equidistribution of shears and applications , url =

Reference 60

Resolution
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no resolver link, observed 2026-08-10T22:35:33.245549Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.245549Z digest=sha256:ee2e25c2a5d759ad405914b775bcefb5efc91ca06de59bcb46d34b3d00d1ded0

Observation b14a56ba-c050-4488-97e5-6707e4e83700 · outbound

This paper cites A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case.

Squarefree numbers in short intervals: explicit and formalized A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case

Reference 61

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no resolver link, observed 2026-08-10T22:35:33.254734Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.254734Z digest=sha256:bc97703ad50ed8cf5b0b697853e1104f6c38cde5670e92238a55dd0a65410fee

Observation 0a58438c-08e5-440b-8332-bbbfa6276ffb · outbound

This paper cites Microlocal properties of Shubin pseudodifferential and localization operators , url =.

Squarefree numbers in short intervals: explicit and formalized Microlocal properties of Shubin pseudodifferential and localization operators , url =

Reference 62

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no resolver link, observed 2026-08-10T22:35:33.262418Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.262418Z digest=sha256:ac2a14a558aba48ed8f226e0aca43d9bcc44a27ba69d16f7c973034f38c0d3cb

Observation 91450c6a-cff8-4ad3-82c3-e9f6e6c781de · outbound

This paper cites Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups.

Squarefree numbers in short intervals: explicit and formalized Comparison of local spherical characters and the Ichino-Ikeda conjecture for unitary groups

Reference 63

Resolution
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no resolver link, observed 2026-08-10T22:35:33.274163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.274163Z digest=sha256:35a72748a4c2fc29b1a4ce7e81be9aa0726f270d3cd6ea8fc2ecac326a121286

Observation 087162fc-ef95-4a1f-80fc-bd51373b33ed · outbound

This paper cites One-Level density for holomorphic cusp forms of arbitrary level.

Squarefree numbers in short intervals: explicit and formalized One-Level density for holomorphic cusp forms of arbitrary level

Reference 64

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no resolver link, observed 2026-08-10T22:35:33.282655Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.282655Z digest=sha256:597e2422a1c3b13c8c6844965fd0c165df1826bec8e9b2f3733a9e4e03b835e7

Observation c082ade4-1998-48dc-8a5c-c9e8a9f676b9 · outbound

This paper cites Twists of $GL(3)$ $L$-functions.

Squarefree numbers in short intervals: explicit and formalized Twists of $GL(3)$ $L$-functions

Reference 65

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no resolver link, observed 2026-08-10T22:35:33.294525Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.294525Z digest=sha256:4fe620a7fdef67cbe46ce255b1e096a878f7cd97e12c9f77dd998aa40bd68ee1

Observation af45cd33-6936-47bc-98bf-b79df6e580b0 · outbound

This paper cites Quantum ergodicity and.

Squarefree numbers in short intervals: explicit and formalized Quantum ergodicity and

Reference 66

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no resolver link, observed 2026-08-10T22:35:33.300221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.300221Z digest=sha256:b8357b25c5aadeeedf2a09ec4a36462c33d268cdb7189c0a820fdf446b92b121

Observation befdf686-1aa3-4d8b-8280-048b115448c7 · outbound

This paper cites Hybrid subconvexity bounds for twisted $L$-functions on $GL(3)$.

Squarefree numbers in short intervals: explicit and formalized Hybrid subconvexity bounds for twisted $L$-functions on $GL(3)$

Reference 67

Resolution
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no resolver link, observed 2026-08-10T22:35:33.310358Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.310358Z digest=sha256:afd46fcec7a60acbf1bd19203556670e66fc0be89f437e031cd291f61ab1e9a1

Observation cc372780-dabf-4702-90e3-5500eb25403d · outbound

This paper cites Quantum Unique Ergodicity for half-integral weight forms.

Squarefree numbers in short intervals: explicit and formalized Quantum Unique Ergodicity for half-integral weight forms

Reference 68

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no resolver link, observed 2026-08-10T22:35:33.324936Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.324936Z digest=sha256:1141c9566510c750db9d79edb63f4d099f2829b8e9386ea027987ee9c1cc05ba

Observation df0e9353-a65d-44af-8e68-ecdf683bf790 · outbound

This paper cites Young , display-string =.

Squarefree numbers in short intervals: explicit and formalized Young , display-string =

Reference 69

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no resolver link, observed 2026-08-10T22:35:33.332518Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.332518Z digest=sha256:e083ad70a30dd12fcf71081fd5f6d0561f7a90c2b29bb77c1bcb3060401128cf

Observation dc03eb59-d255-4f46-b465-9b49d58e4147 · outbound

This paper cites An explicit inversion formula for the p -adic Whittaker transform on.

Squarefree numbers in short intervals: explicit and formalized An explicit inversion formula for the p -adic Whittaker transform on

Reference 70

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no resolver link, observed 2026-08-10T22:35:33.349922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.349922Z digest=sha256:c96a78487872c28a725b8b244f6bec4b59de02d309b963e5a598e4254c665d2d

Observation c84a2e7e-9a1a-4f8b-8515-04d459bf49ac · outbound

This paper cites Wallach , display-string =.

Squarefree numbers in short intervals: explicit and formalized Wallach , display-string =

Reference 71

Resolution
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no resolver link, observed 2026-08-10T22:35:33.356478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.356478Z digest=sha256:d91cec8b26bcecd3c342e4c0d38fde6fa4e88698bdd0fc435218763a85fe9a10

Observation 0d4f4c82-6117-4db3-92b1-d4cbc67dcf39 · outbound

This paper cites Twisted moments of L-functions and spectral reciprocity.

Squarefree numbers in short intervals: explicit and formalized Twisted moments of L-functions and spectral reciprocity

Reference 72

Resolution
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no resolver link, observed 2026-08-10T22:35:33.363060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.363060Z digest=sha256:150804941aa284a69b9e6867342c69631356d732dcc186a863dc7613d8b5b9af

Observation 68627d0e-025b-4402-acb4-85c2f8f5c25f · outbound

This paper cites Rankin-Selberg periods for spherical principal series.

Squarefree numbers in short intervals: explicit and formalized Rankin-Selberg periods for spherical principal series

Reference 73

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no resolver link, observed 2026-08-10T22:35:33.370033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.370033Z digest=sha256:b359c9027864a71bf42e92e957519ebb2fe0f346bd883d67273ff528955b07da

Observation 832a1e64-8f8d-4ca4-b012-4354f416fe48 · outbound

This paper cites Nelson and Abhishek Saha , display-string =.

Squarefree numbers in short intervals: explicit and formalized Nelson and Abhishek Saha , display-string =

Reference 74

Resolution
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no resolver link, observed 2026-08-10T22:35:33.376041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.376041Z digest=sha256:72b388da95aa7c44e505565d2c9ab0f45a233ddcfeb4ddae76767205096d550d

Observation 07d2ff49-93f8-46f1-871b-ef26a3979f40 · outbound

This paper cites Upper bounds for geodesic periods over rank one locally symmetric spaces , url =.

Squarefree numbers in short intervals: explicit and formalized Upper bounds for geodesic periods over rank one locally symmetric spaces , url =

Reference 75

Resolution
verified exact
doi, observed 2026-08-10T22:35:35.892854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.381418Z digest=sha256:848711deedd131fa63287d0dbeefa8783cd55c796d6cfd327f0de8c2f75d7a07

Observation b9da2bc9-d649-416a-a5cd-a7acf6d29138 · outbound

This paper cites Subconvexity for symmetric square $L$-functions.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for symmetric square $L$-functions

Reference 76

Resolution
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no resolver link, observed 2026-08-10T22:35:33.392639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.392639Z digest=sha256:4b24942b71ac7446540390ee32747edf80fc4548cdcc679695e2c3dab218dfb6

Observation 866e1adc-9d29-4cdb-96cd-7621e036322d · outbound

This paper cites Oscillatory integrals with uniformity in parameters.

Squarefree numbers in short intervals: explicit and formalized Oscillatory integrals with uniformity in parameters

Reference 77

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no resolver link, observed 2026-08-10T22:35:33.399233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.399233Z digest=sha256:f86e1b8fc6e910f1d78eaf6944af76d05ce1e06d2e860ce2e6473164484ce07b

Observation 30c87345-8945-4bc0-bcf1-264d85c5b9d5 · outbound

This paper cites A note on Burgess bound.

Squarefree numbers in short intervals: explicit and formalized A note on Burgess bound

Reference 78

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no resolver link, observed 2026-08-10T22:35:33.408223Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.408223Z digest=sha256:5b126d387b7e632f4b8578a00463f3dc0467b9654d945e3e35a281466bcc03fd

Observation f876be07-5ab9-4d71-93ad-110e2c5ac55e · outbound

This paper cites Lectures on Applied -adic Cohomology , url =.

Squarefree numbers in short intervals: explicit and formalized Lectures on Applied -adic Cohomology , url =

Reference 79

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no resolver link, observed 2026-08-10T22:35:33.414464Z

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source=arxiv_source observed=2026-08-10T22:35:33.414464Z digest=sha256:cfd3fca6d7125537afd83b60572b80e2efdd665f44aa4168082720113f6e48e4

Observation 94dffa75-3942-4950-aa67-53e93e57c71c · outbound

This paper cites Periods, cycles, and $L$-functions: a relative trace formula approach.

Squarefree numbers in short intervals: explicit and formalized Periods, cycles, and $L$-functions: a relative trace formula approach

Reference 80

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source=arxiv_source observed=2026-08-10T22:35:33.420948Z digest=sha256:b8a7cdb04e237c42a532e6d1d892ee5dabfbd89c0d3db4f390eaf6fc355f76e8

Observation 1b175e06-5166-40f3-9649-91b8aa268d1d · outbound

This paper cites Bounds for twists of $\rm GL(3)$ $L$-functions.

Squarefree numbers in short intervals: explicit and formalized Bounds for twists of $\rm GL(3)$ $L$-functions

Reference 81

Resolution
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no resolver link, observed 2026-08-10T22:35:33.426926Z

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source=arxiv_source observed=2026-08-10T22:35:33.426926Z digest=sha256:dd1ed7eb6249924ed52ee13822817c6e192a6aba30d0a523a31385cac1ae19f6

Observation 0dec8e26-f94b-4507-bc81-53ef0802575f · outbound

This paper cites Numerical computation of Petersson inner products and $q$-expansions.

Squarefree numbers in short intervals: explicit and formalized Numerical computation of Petersson inner products and $q$-expansions

Reference 82

Resolution
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no resolver link, observed 2026-08-10T22:35:33.432105Z

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source=arxiv_source observed=2026-08-10T22:35:33.432105Z digest=sha256:a16c9911a32a57609e8265e45761818392a900ba9748ce1e2935753cfd92d4ea

Observation 071a3dc4-31a8-4904-9b86-4fd861567b35 · outbound

This paper cites A quantum probabilistic approach to Hecke algebras for.

Squarefree numbers in short intervals: explicit and formalized A quantum probabilistic approach to Hecke algebras for

Reference 83

Resolution
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no resolver link, observed 2026-08-10T22:35:33.438460Z

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source=arxiv_source observed=2026-08-10T22:35:33.438460Z digest=sha256:3fca996adb9c9a9153d57e65c579a34c26eca7781a727a0cdcb55d32edcdc1a6

Observation 20ba84aa-c106-4e2d-8983-d4f3cd2fc229 · outbound

This paper cites The Burgess bound via a trivial delta method.

Squarefree numbers in short intervals: explicit and formalized The Burgess bound via a trivial delta method

Reference 84

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no resolver link, observed 2026-08-10T22:35:33.443508Z

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source=arxiv_source observed=2026-08-10T22:35:33.443508Z digest=sha256:5919be4fe87d0aab95990f13d5962513d38f35d50c22f840218d48bfbbf4958a

Observation cdd0c815-40c5-4847-8b14-4e99de5a797d · outbound

This paper cites Bounds for $GL_3$ $L$-functions in depth aspect.

Squarefree numbers in short intervals: explicit and formalized Bounds for $GL_3$ $L$-functions in depth aspect

Reference 85

Resolution
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no resolver link, observed 2026-08-10T22:35:33.450636Z

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source=arxiv_source observed=2026-08-10T22:35:33.450636Z digest=sha256:4c3db24ca89a5cc6c146a243773781d1b34c01302b5a6e2fa80d1da83bcb78ef

Observation de87c8cb-dab9-45bc-8f6f-9b86d5a328a0 · outbound

This paper cites The second moment theory of families of L-functions.

Squarefree numbers in short intervals: explicit and formalized The second moment theory of families of L-functions

Reference 86

Resolution
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no resolver link, observed 2026-08-10T22:35:33.458147Z

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source=arxiv_source observed=2026-08-10T22:35:33.458147Z digest=sha256:c77045420270c20807f4edfcbdd5d207850c32a9e2c192d6ff2ce8c5bed5a8df

Observation 14441f64-0995-43cf-b521-e777ef00c5d8 · outbound

This paper cites Transfer operators and Hankel transforms between relative trace formulas, I: character theory.

Squarefree numbers in short intervals: explicit and formalized Transfer operators and Hankel transforms between relative trace formulas, I: character theory

Reference 87

Resolution
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local_arxiv, observed 2026-08-10T22:35:35.874190Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.464272Z digest=sha256:f48a6dda0e860024d25162c915d4c26b506d2aa80d67bba7bde242723459f165

Observation af7fa0a5-e1f6-41db-a559-43f907b63d4d · outbound

This paper cites Moments of Spinor L-Functions and symplectic Kloosterman sums , url =.

Squarefree numbers in short intervals: explicit and formalized Moments of Spinor L-Functions and symplectic Kloosterman sums , url =

Reference 88

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no resolver link, observed 2026-08-10T22:35:33.470179Z

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source=arxiv_source observed=2026-08-10T22:35:33.470179Z digest=sha256:8d35404158429de5754d65b8d7b6420a7d363d0948f04bb7efbac6201db3616a

Observation c92315e4-0a76-47ff-94cd-2481bb274f9c · outbound

This paper cites On the Ramanujan conjecture for automorphic forms over function fields I.

Squarefree numbers in short intervals: explicit and formalized On the Ramanujan conjecture for automorphic forms over function fields I

Reference 89

Resolution
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no resolver link, observed 2026-08-10T22:35:33.481392Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.481392Z digest=sha256:2683ac0eab86975b63a7d69b29c21783d79b18ad2bddd93ba6058c2f94af5a9a

Observation 24cbe132-c565-4e8e-b16e-8abfdd87c30e · outbound

This paper cites Subconvexity for twisted $L$-functions on $\mathrm{GL}_3$ over the Gaussian number field.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for twisted $L$-functions on $\mathrm{GL}_3$ over the Gaussian number field

Reference 90

Resolution
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no resolver link, observed 2026-08-10T22:35:33.490700Z

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source=arxiv_source observed=2026-08-10T22:35:33.490700Z digest=sha256:4ab692455bad2d338e3c0dacd054350fa5dd7cb54e76b8575bd006882fb8972b

Observation 296ff2a3-24cf-42bc-a582-beb847f9066d · outbound

This paper cites an unresolved cited work.

Squarefree numbers in short intervals: explicit and formalized Unresolved cited work

Reference 91

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:33.496658Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.496658Z digest=sha256:ea0d63dd3aee7ecf1ece763bc9f449663d65eea285bc7c35fd5f12642ed2ff76

Observation dcf132e0-16f3-4bf7-9641-3c1355ebd47d · outbound

This paper cites Joint distribution of spins , url =.

Squarefree numbers in short intervals: explicit and formalized Joint distribution of spins , url =

Reference 92

Resolution
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no resolver link, observed 2026-08-10T22:35:33.503875Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.503875Z digest=sha256:db5bc54ef7c90a7c402aad5c7d88096db941d54c61bdcfc1eb662550f8ed438e

Observation 1c69162d-3fc9-4fcb-9d63-feb41205b04f · outbound

This paper cites Sup norm on $\text{PGL}_n$ in depth aspect.

Squarefree numbers in short intervals: explicit and formalized Sup norm on $\text{PGL}_n$ in depth aspect

Reference 93

Resolution
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no resolver link, observed 2026-08-10T22:35:33.509024Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.509024Z digest=sha256:62ad2a477eb8c46fceaf516fed11c2454bc7113588f499019c924a585797febb

Observation 70e8ab0a-3075-461f-ac81-5a50bf7ddb0e · outbound

This paper cites On the rationality of cycle integrals of meromorphic modular forms , url =.

Squarefree numbers in short intervals: explicit and formalized On the rationality of cycle integrals of meromorphic modular forms , url =

Reference 94

Resolution
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no resolver link, observed 2026-08-10T22:35:33.514809Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.514809Z digest=sha256:e1cc292e3dad56467ddd16a9876f6511c70c0b85b8d881fa1b8a91f05098143e

Observation 00002821-f670-4b52-80e5-41b5f4071d8e · outbound

This paper cites Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect.

Squarefree numbers in short intervals: explicit and formalized Subconvexity for $GL(3)\times GL(2)$ $L$-functions in $t$-aspect

Reference 95

Resolution
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no resolver link, observed 2026-08-10T22:35:33.520837Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.520837Z digest=sha256:4fe9f85c8be970ec0af6467a2d7b762c7de8dc9ee34ce4ae93cb0e611b6753b5

Observation ded660a4-d503-44ad-9a92-7d588a4c7a39 · outbound

This paper cites New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds.

Squarefree numbers in short intervals: explicit and formalized New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds

Reference 96

Resolution
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no resolver link, observed 2026-08-10T22:35:33.527516Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.527516Z digest=sha256:be4504da8e06bc9ca2bf4d2107809a2986d0c71332d3d9b0894463f5e8fabfd2

Observation b474238a-908f-4498-840b-dd1a16e4d806 · outbound

This paper cites Special value formula for the twisted triple product $L$-function and an application to the restricted $L^2$-norm problem.

Squarefree numbers in short intervals: explicit and formalized Special value formula for the twisted triple product $L$-function and an application to the restricted $L^2$-norm problem

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:33.533088Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.533088Z digest=sha256:3f31955aa3250a0a429df49322a46f2d9323d00d376da626644b2ee8f861882c

Observation 6d328c5e-aea0-420c-ab92-782f6a22b80c · outbound

This paper cites , display-string =.

Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-10T22:35:33.538110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T22:35:33.538110Z digest=sha256:c3ce6ca578ddc31cd48fef504e0c6a173ea86be3d3cb7ad8a9c99067166667b7

Observation ee0c1aa7-8c4f-4cd5-b49e-a0d90a2a34f6 · outbound

This paper cites , display-string =.

Squarefree numbers in short intervals: explicit and formalized , display-string =

Reference 99

Resolution
verified exact
doi, observed 2026-08-10T22:35:35.823114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.543295Z digest=sha256:cce6ee7bcb593b5f091dfe2b2f2cb22e0bd9788e022d9dd4e82dd78c1064e99c

Observation 877fc71f-97c6-4040-9343-2e08fc6a3563 · outbound

This paper cites Level of distribution of unbalanced convolutions.

Squarefree numbers in short intervals: explicit and formalized Level of distribution of unbalanced convolutions

Reference 100

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T22:35:35.800254Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-08-10T22:35:33.548664Z digest=sha256:0a7b6e9655c8097b66da077e427caa78029ce7e93ba0810f16bb1415e7e19273

Pith citing papers

No inbound Pith citation observations are available.