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Paper Citation Record · LEDGER

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields

As of 13 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2509.06390.

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

pith.paper-citation-record.v1
2509.06390 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T23:49:23.606334Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:49:25.854380Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

  • verified exact2
  • verified fuzzy12
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0fc60851-5cfb-4e35-ab9a-f92d58790699 · outbound

This paper cites Cassels and A.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Cassels and A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:28.394741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:20.784753Z digest=sha256:f3f3843f07b1a7c5901b9bdb3443e7e81f0018e948540b670997b3db4c57a7ce

Observation df51efaa-da31-4c79-9dfd-44dc785eeb3e · outbound

This paper cites an unresolved cited work.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-04T23:49:23.839419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:20.904743Z digest=sha256:1e1b3b6ec512f4ce3650bcee6cbc763baa7e202527fb37d4e8fd617396eb0ad9

Observation b3bd4c01-85cd-42b5-98b3-3524fb746d50 · outbound

This paper cites Davenport,Multiplicative Number Theory, Third edition, Springer Verlag, New York, 2000.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Davenport,Multiplicative Number Theory, Third edition, Springer Verlag, New York, 2000

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:28.138569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:20.965699Z digest=sha256:db5e4a17ff55010a5ed92c7dfe3f2d3bd92af1035497cb554a838c9b237a0b61

Observation 56f89e28-3f08-433a-92fb-8082971ddb3e · outbound

This paper cites Higher Euler-Kronecker Constants of Number fields.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Higher Euler-Kronecker Constants of Number fields

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-04T23:49:24.101239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:21.065798Z digest=sha256:883d45132bf37e84c28eff7c3660aef8899dbc23dabf39ada69ffb12a9800908

Observation ef6f60f4-7a36-43f2-9978-18cacdc38a82 · outbound

This paper cites Heath-Brown,Fractional moments of DirichletL-functions, Acta Arith., 145(4), 397–409, 2010.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Heath-Brown,Fractional moments of DirichletL-functions, Acta Arith., 145(4), 397–409, 2010

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:27.969283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:21.197382Z digest=sha256:e453e8c47aa6798d6ced0274c1c14728a912f2c9c120b8fd283fcb2ed966ea43

Observation 7d1f00c1-3587-4e08-9e12-8e6c3b5d5151 · outbound

This paper cites With introduc- tory material by B.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields With introduc- tory material by B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:27.744854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:21.265943Z digest=sha256:37c48d96795d4f1d11c84843bc1a21a315ea0c526f4b16b57de49903748f526d

Observation 74e7cb5f-1d58-4ede-9fa6-7cede0f3ab65 · outbound

This paper cites an unresolved cited work.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:49:27.469398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:21.346474Z digest=sha256:d50085c9678bbf63b66e4cf002aae413dd2c3884ee967ce2a7b6173721aaef93

Observation 686020e6-a940-4f2a-b4f0-91ee56cdc8fc · outbound

This paper cites M-functions.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields M-functions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:27.226700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:21.437535Z digest=sha256:3eafd518d7485ea3eab289c670f230f7b3ecfe0f6c3a231a7da13d5235ab101e

Observation 3940ed58-5c85-4baa-8268-9723d35a1cd6 · outbound

This paper cites an unresolved cited work.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:49:26.912212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:21.553327Z digest=sha256:4f72087667577f9ebb0a18ad56a7f1d2c3c0dbe46f6ab184bc1f22397b8036a4

Observation 137b27bb-882f-451d-aaa8-6b86b29d729e · outbound

This paper cites Lagarias, J.C.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Lagarias, J.C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:26.660928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:21.684730Z digest=sha256:80388154f4728febce1b5eee3e03f3d2cc65dc3aa363c4ebec657b929cdade1d

Observation dfcf7bbb-be0f-41e9-8498-964c863d4f6d · outbound

This paper cites Milinovich,Moments of the Riemann zeta-function at its relative extrema on the critical line, Bull.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Milinovich,Moments of the Riemann zeta-function at its relative extrema on the critical line, Bull

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:26.287833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:21.823299Z digest=sha256:9954a29f9aafe895e584558bb4e7922278c519e739955edf80cab369510a758c

Observation d7434d17-acb1-4184-8ae1-accd4366fad9 · outbound

This paper cites Montgomery,Zeros ofL-functions., Inventiones mathematicae8(1969), 346–354.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Montgomery,Zeros ofL-functions., Inventiones mathematicae8(1969), 346–354

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:25.967570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:21.904745Z digest=sha256:a5498bf16fdcbfbcaac34fd9bb2cbb97943a32fae9b5381f7dcf459f494dbdb8

Observation e8205ed3-59e2-4400-b7c5-31d0ed2f63e9 · outbound

This paper cites 227, Springer Verlag, 1971.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields 227, Springer Verlag, 1971

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:25.735616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:22.024743Z digest=sha256:64c2a6b18eba0bd4eb1bc5d32fcf2b679e95b83ed9689b02b9def363c337dd5f

Observation aa08460d-e007-4587-b72f-79114c8b744f · outbound

This paper cites an unresolved cited work.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:49:25.550350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:22.157020Z digest=sha256:9af7e6c27f2c14735ccf81ddd8779890793eb45b79fd759751cb99f346cba6a3

Observation c9e8e3e0-e998-48e2-bef2-50b62c52640e · outbound

This paper cites an unresolved cited work.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:49:25.329800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:22.985177Z digest=sha256:a923c9d6a9bff9fd376cedbab7e57485d6c652234f675de5095d744fff429550

Observation 9c52190a-1c4b-44bb-bbc0-cad3ab392ec2 · outbound

This paper cites Soundararajan,Moments of the Riemann zeta function, Ann.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Soundararajan,Moments of the Riemann zeta function, Ann

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:25.009325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:23.235873Z digest=sha256:3c1576a095e6b78fc49cd10c061c10e78f5d0912937dc7036672484e8996464e

Observation eb4b3c21-c856-449c-a911-38e84d2ab378 · outbound

This paper cites an unresolved cited work.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-04T23:49:24.804965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:23.376413Z digest=sha256:ecd4df29d2c4d0f9454d0cf31e2e35fd79fd085b8f6657cf0e3db2e7020bdb5d

Observation 020fc59f-374a-47ba-bb5a-761651201983 · outbound

This paper cites Kumar Murty,On the logarithmic derivatives of Dirichlet L-functions at s=1, Acta Arithmetica137(2009), no.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Kumar Murty,On the logarithmic derivatives of Dirichlet L-functions at s=1, Acta Arithmetica137(2009), no

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:24.591357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:23.481169Z digest=sha256:57d892d673686ec43fe56463fc5cbafd0e1211735376f05853d760c054d0b758

Observation 311beb95-d1bc-4ab7-a7f0-a9e8a9d1ab84 · outbound

This paper cites Zhang,On the fourth power mean of Dirichlet L-functions, Chinese Science Bulletin, Vol 35, page 1940-1945, 1990.

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields Zhang,On the fourth power mean of Dirichlet L-functions, Chinese Science Bulletin, Vol 35, page 1940-1945, 1990

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T23:49:24.323179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-04T23:49:23.606334Z digest=sha256:1f363c50eb2de87ffccf50c9871e4abea478c6710334f9bbef07558d0c69b3d3

Pith citing papers

Observation de3adffa-c5b2-40ad-af4e-012ba98a0745 · inbound

Distribution of values of higher derivatives of $L'(s,\chi)/L(s,\chi)$ cites this paper.

Distribution of values of higher derivatives of $L'(s,\chi)/L(s,\chi)$ Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T11:49:25.854380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T11:49:25.854380Z digest=sha256:cc74cfead9347352d9adebfaef669c89e66f147f245b02a695d8f60abd72c254