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Paper Citation Record · LEDGER

Moments of Higher Logarithmic Derivatives and Exceptional Zeros in Cyclotomic Fields

As of 12 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 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:20.784753Z digest=sha256:8d11faff01181af1cd7045fbc55ce375054bc413bec16f43f36d31e53fb34aa7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:20.904743Z digest=sha256:cfb694d03b5544a2903b9c3b15b6d579c9b50d289e33359218033184c2e9b091

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:20.965699Z digest=sha256:70a4befd5e6e03fd4f88660ca755aeab67d0f4c1b83d97359c8966ced2f8c330

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:21.065798Z digest=sha256:cc7c5c756550fb6420115d39c788cdb048cc19297ffc73d8c45883560b9f66cb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:21.197382Z digest=sha256:ce85e0c02b2d944989357feca6df21aab0ea65754ac85139db0b73663889f36b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:21.265943Z digest=sha256:b9b2755e54293bdcfd325dd041d84b349e3f364f8f34b1ca421ba94363a93bc7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:21.346474Z digest=sha256:504ab34bee2aa73e31e4c3e04f135993193ec18450262f5d4bf702c693cde561

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:21.437535Z digest=sha256:d8acb389c66c4b0642cee0c961a3208110ecabda3bce05db8cb758dc9fb9e23b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:21.553327Z digest=sha256:398e6c0c0ace72d81fabe004892e9103cfb73374b1b31622cd49af92b870e9d2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:21.684730Z digest=sha256:17bd245325759ef9566d86c242a14e8a57a33c684b75a6375f58869ff1140def

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:21.823299Z digest=sha256:aefc82653cacb6a83a9e6d47bb3e2afa8d4735068c361784ef0b5003a19a334d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:21.904745Z digest=sha256:94a868d088346087e8182764a62cf1ddf28845ae0eb1bf9998a5ce4d1ce4ec76

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:22.024743Z digest=sha256:19f1b9e981a63ac03ed78154f9958133e5faf30a287ccde7699b0dac1911579b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:22.157020Z digest=sha256:143fd5da02cff6e1f29a6763e1c4902026f909218b1e2d48cd381dae23ca6a48

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:22.985177Z digest=sha256:1e7e06938942b8c8ce1cea866fd15a3102d057c8f40bcf3425867eeb67464333

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:23.235873Z digest=sha256:20027178faa352545ca9967a784bc747c6ddbe9bff1507fdfc024045637b7baf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:23.376413Z digest=sha256:f8dc394d47ddb8e9639e216a054792d197eeeb80e860f5609462323a118ce549

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:23.481169Z digest=sha256:d05ffd0c72913e04ac7d4c33f469e2c980b38b8be12e4f325b4aef49099cc2cb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-04T23:49:23.606334Z digest=sha256:fbdd4e9be983f43bed747d7602c13ba03624e956408804367f591466a9f52850

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