Paper Citation Record · LEDGER

Large character sums with multiplicative coefficients

As of 9 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2509.09649.

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

pith.paper-citation-record.v1
2509.09649 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:58:15.972716Z

measured 12 of 12 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 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

12 of 12 outbound references displayed

verified exact0
verified fuzzy0
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7f16fd10-6513-4034-b86e-8926dca6a004 · outbound

This paper cites Lower bounds for the maximum of the Riemann zeta function along vertical lines , Math.

Large character sums with multiplicative coefficients Lower bounds for the maximum of the Riemann zeta function along vertical lines , Math

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.899902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e0f323a-be4a-4a6f-956f-d7d5f5c0f940 · outbound

This paper cites Large greatest common divisor sums and extreme values of the Riemann zeta function , Duke Math.

Large character sums with multiplicative coefficients Large greatest common divisor sums and extreme values of the Riemann zeta function , Duke Math

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.907440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 192e63b5-d20d-48c9-a761-710d0cf6518f · outbound

This paper cites Sommes de G\' a l et applications , Proc.

Large character sums with multiplicative coefficients Sommes de G\' a l et applications , Proc

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.913903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Large values of character sums with multiplicative coefficients.

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.

Observation 53325db7-5247-440d-854b-ebe63081c07d · outbound

This paper cites Large character sums , J.

Large character sums with multiplicative coefficients Large character sums , J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.929874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a39f573-8790-432a-8e91-a2f6c442e32f · outbound

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

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

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.935612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d88f58c-4a60-48e6-83ec-5a72d3b388ee · outbound

This paper cites An arithmetical mapping and applications to results for the Riemann zeta function , Acta Arith.

Large character sums with multiplicative coefficients An arithmetical mapping and applications to results for the Riemann zeta function , Acta Arith

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.942194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24973776-f94f-4d51-994e-033f5b71f5e2 · outbound

This paper cites The resonance method for large character sums , Mathematika , 59 ,(2013), 87--118.

Large character sums with multiplicative coefficients The resonance method for large character sums , Mathematika , 59 ,(2013), 87--118

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.947550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 70b2b37f-3bc7-4bf1-b0c0-dfb899ce3f7c · outbound

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

Large character sums with multiplicative coefficients The maximum size of short character sums , Ramanujan J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.954056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb826e59-48cf-491c-a3ed-03249db9b055 · outbound

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

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

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.960102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7571a2d8-f76d-4bb9-9c80-f4772cda67d7 · outbound

This paper cites an unresolved cited work.

Large character sums with multiplicative coefficients Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.966724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7b96f62-af6c-46f8-8ee4-13fd9fe2dbe2 · outbound

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

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

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.972716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.