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Paper Citation Record · LEDGER

Large values of character sums with multiplicative coefficients

As of 9 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:2508.09750.

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

pith.paper-citation-record.v1
2508.09750 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:03:17.889056Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:58:15.922106Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

8 of 8 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 605c251c-4208-4988-9bf4-e9c536f0837c · outbound

This paper cites (French) [G´ al-type sums and applications], Proc.

Large values of character sums with multiplicative coefficients (French) [G´ al-type sums and applications], Proc

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:03:17.968491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:03:17.869231Z digest=sha256:26ee6049ba8aeb2a629c56c830bea9175861d7becd50f49ba56d741764a930aa

Observation 5b8e6a92-dd07-4cb5-883a-07c9e62c4542 · outbound

This paper cites Large character sums, J.

Large values of character sums with multiplicative coefficients Large character sums, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:03:17.960878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:03:17.872219Z digest=sha256:8e4dc03faea60043fb3030ad3b78374488159dd206b9b0d84dacc4ab690cda9b

Observation 4900ec7a-bbc3-4514-90b6-fdaa0f3c6b2b · outbound

This paper cites The typical size of character and zeta sums is $o(\sqrt{x})$.

Large values of character sums with multiplicative coefficients The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-05T21:03:17.874792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:03:17.874792Z digest=sha256:a8c385abd632c2edc1308d9c45b277926a79f3da690ed2bd3757407f2af52c6b

Observation 48a26547-9a2e-4af4-bef8-4489d28f3a7e · outbound

This paper cites An arithmetical mapping and applications to results for the Riemann zeta function, Acta Arith., ��� (2009), 341–367.

Large values of character sums with multiplicative coefficients An arithmetical mapping and applications to results for the Riemann zeta function, Acta Arith., ��� (2009), 341–367

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:03:17.952769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:03:17.877587Z digest=sha256:4b19d6863c74405cdf38bdd1ca052c12156df49d5724624da0dbe84d0574e2fa

Observation 22bbaa8a-428c-4794-86d8-ca0d81f704c3 · outbound

This paper cites T he resonance method for large character sums, Mathematika, �� ,(2013), 87–118.

Large values of character sums with multiplicative coefficients T he resonance method for large character sums, Mathematika, �� ,(2013), 87–118

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:03:17.945046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:03:17.880330Z digest=sha256:bb4bc84b4b4e3e757e66a4c442dc273d72e9b0eeefbf82837182a3e9a495247d

Observation 329415a6-118a-48e5-b988-ad76685f4c74 · outbound

This paper cites T he maximum size of short character sums, Ramanujan J.

Large values of character sums with multiplicative coefficients T he maximum size of short character sums, Ramanujan J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:03:17.937045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:03:17.883742Z digest=sha256:379b6b3b3dd9f9c5eca25c193c102b4a04fcf129aaa2d0a96792b176e1b3124f

Observation 7a032b98-f846-4a28-9fd6-80cc5491c682 · outbound

This paper cites E xtreme values of zeta and L-functions, Math.

Large values of character sums with multiplicative coefficients E xtreme values of zeta and L-functions, Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:03:17.929059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:03:17.886382Z digest=sha256:c596439e2fd00852c5e693d6d293502db778995ad033567a3216ec96f4e97329

Observation ef623e8e-5b6a-4b21-9f63-ca4ca285d61b · outbound

This paper cites E xtreme values of Dirichlet polynomials with multiplicative coefficients, J.

Large values of character sums with multiplicative coefficients E xtreme values of Dirichlet polynomials with multiplicative coefficients, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T21:03:17.920990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T21:03:17.889056Z digest=sha256:9b6bdb164163d9edc335f0177e72ddfc044cc1a4f9aaa561fd2f033dc37592e3

Pith citing papers

Observation eb685db5-6b4c-433a-ba2c-96beeca096bc · inbound

Large character sums with multiplicative coefficients cites this paper.

Large character sums with multiplicative coefficients Large values of character sums with multiplicative coefficients

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T18:58:15.922106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T18:58:15.922106Z digest=sha256:a077e1057ed47983ca254332270e66d6fb5155bce5c24066416864f93123b636