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Paper Citation Record · LEDGER

Large values of Dirichlet polynomials with multiplicative coefficients

As of 17 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2509.09771.

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

pith.paper-citation-record.v1
2509.09771 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:59:14.917988Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84601b09-0098-4d18-a03a-f0e26068ecbf · outbound

This paper cites Ann.,365(2016), 473–496.

Large values of Dirichlet polynomials with multiplicative coefficients Ann.,365(2016), 473–496

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:13.498969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:13.498969Z digest=sha256:4f8f33e049cd5ef4cf0d8aebf4a7e0488d6a5040508fcec44a015beae3550b66

Observation c3eb210d-4cee-434d-b96a-dc6323763e3d · outbound

This paper cites and Nishry, A.Extremal bounds for Dirichlet polynomials with random multiplicative coefficients,Stud.

Large values of Dirichlet polynomials with multiplicative coefficients and Nishry, A.Extremal bounds for Dirichlet polynomials with random multiplicative coefficients,Stud

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:13.676175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:13.676175Z digest=sha256:068a1cb73048e7c01fad7aadb79850bdd36a39a64718866e300ec80c2a7a9b99

Observation 7c0ce87f-eb4c-42a1-938f-e8773c9756b6 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:13.843404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:13.843404Z digest=sha256:df1ccb8b1b507b5682f5b4817ccbc82d8f4d86e30337d6af40217cc794ad0d16

Observation bd033b9d-b313-46f2-be46-a7270ecfef31 · outbound

This paper cites J.,166(2017), 1685–1701.

Large values of Dirichlet polynomials with multiplicative coefficients J.,166(2017), 1685–1701

Reference 4

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unresolved
no resolver link, observed 2026-08-04T18:59:13.942317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:13.942317Z digest=sha256:b55bd6c9cb40ecdd2fb2830dde1502fba48285e54f4a14569d68ad9beccf5d4e

Observation c40e0df6-d02e-4d75-bdd1-7c6ea2e8fb63 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.040074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.040074Z digest=sha256:1763d10dea7b62aa8a392da0625ad1a305178a8f3a2cdd1515be721359622476

Observation 9edc9dd1-819a-4b00-acba-9419c8c0440b · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.135680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.135680Z digest=sha256:8db6437ea450a36674db24389ec1fd60023b322ca0ba20b2af7231c68ac5412e

Observation de4558dd-6b38-4ee3-b9f3-2d2b332fd214 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.230240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.230240Z digest=sha256:f931c173625ce72c41e31acd2904417e2c492582b78f0a83e5cab7024227bad3

Observation 973ea06a-b060-4db0-af19-9100fa8c81cf · outbound

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

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

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.336105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.336105Z digest=sha256:a57d9ea7737540af50aa742b566504ea08c61de458380b8a1536c1f75dfb5b32

Observation b8171763-e086-48aa-85eb-7e5bb7cdc721 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.467451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.467451Z digest=sha256:511c6ce98f7c5ca0070b698ad0bdf72bb8f0459e702602a5ebec89c2a88e4b33

Observation 63926aee-4367-4433-bb70-60cebcc4e632 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.560563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.560563Z digest=sha256:031273de05ace44e032f1be08af95b26c7f68680ee16e2004980b2649ee8f313

Observation fc418081-8e26-423d-9b3d-a90591257423 · outbound

This paper cites an unresolved cited work.

Large values of Dirichlet polynomials with multiplicative coefficients Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.633679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.633679Z digest=sha256:84cfb399e6d5a66abedb5a8ffb170e7be14dc5e2e167059719355a7163dd9366

Observation ba3f49fc-8c63-45c9-9144-572d576c957b · outbound

This paper cites Ann.,342(2008), 67–86.

Large values of Dirichlet polynomials with multiplicative coefficients Ann.,342(2008), 67–86

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.751120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.751120Z digest=sha256:c8711a1d93ea03048c2be284c54ab9d877ab5588d744f62e1a3d2d1879bb2da9

Observation 8baec160-8703-4acd-b445-1a9d9dd66df6 · outbound

This paper cites M.Lower bounds in Riemann zeta-function theory,Izv.

Large values of Dirichlet polynomials with multiplicative coefficients M.Lower bounds in Riemann zeta-function theory,Izv

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.847857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.847857Z digest=sha256:57abc3dc2ba9e07aa371c6bb5cc34e4c1867f6edbebb2e8fab7d2897a04f3d59

Observation 52de210b-5546-4075-b6fd-3dc1bfbf4738 · outbound

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

Large values of Dirichlet polynomials with multiplicative coefficients W., Yang, D.Extreme values of Dirichlet polynomials with multiplicative coefficients,J

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T18:59:14.917988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:59:14.917988Z digest=sha256:956804aeff9c41cc9dda6fc197735440e17184a17a7681b7b455179854f659e0

Pith citing papers

No inbound Pith citation observations are available.