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Paper Citation Record · LEDGER

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation

As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2504.14551.

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

pith.paper-citation-record.v1
2504.14551 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:57:10.518363Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4d300bdf-a962-4da0-a76b-17d94a918ce7 · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.772509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.447218Z digest=sha256:456abf116779e6851794622d10b81f8ee78de2bb316166aa093870960a0d2c85

Observation 6130fb2b-65a3-477d-8107-751abf64fca8 · outbound

This paper cites Apostol and A.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Apostol and A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.759913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.454212Z digest=sha256:2d2ff3e9da209baa22fb2597469edd97be93762cde550b482519f7a9f896fa23

Observation 40df2e30-b07b-4331-8d91-07b29be2ef01 · outbound

This paper cites Banerjee and J.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Banerjee and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.747141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.458725Z digest=sha256:3f20b99025e790c070170ba36fef82b755417ec9cedf95cad90c386ea9ae80a2

Observation b1807cbd-6bf1-4a04-b10d-109d7f528a1b · outbound

This paper cites An analogue of Wilton's formula and values of Dedekind zeta functions.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation An analogue of Wilton's formula and values of Dedekind zeta functions

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-16T11:57:10.573201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.468381Z digest=sha256:748a8966f8f7717ce28f4d885fbfa3558de947e4e216bdcf56912d503da8bbd2

Observation 9ce23ee9-3ebe-4ad5-b4c8-7401046924c1 · outbound

This paper cites Banerjee, K.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Banerjee, K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.734772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.472946Z digest=sha256:a6fc24575adb21570a3531228efd84bf9a56a99390f43eb7ab935ef70a3f23d7

Observation a287e1e0-a42b-4617-88ff-6b317a14ae68 · outbound

This paper cites Bateman and A.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Bateman and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.721933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.477732Z digest=sha256:42597e568eb52396e9dbfbc5ad2d1f4106cf686361c21139bc11765eb37f09b7

Observation 09dc92c0-829a-4dd6-af5e-c492462fa4d8 · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.708779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.482357Z digest=sha256:bf94c7f196e72078aef99375de652b95d8752d3a0eb1ee76dedd8e8e04e47ccb

Observation 94a85952-ea45-4b1a-a28e-1ea95718ff6e · outbound

This paper cites Chandrasekharan and R.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Chandrasekharan and R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.696474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.486520Z digest=sha256:323f6bac4e19123e749b72d6136a434d934c8027506e08d3dd1ba23471cee0a2

Observation 478123ea-20fc-46e1-8265-c216869f7af3 · outbound

This paper cites Davenport.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Davenport

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.682787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.491420Z digest=sha256:3dea7eaef13e441368a4c8d64ddf1f1386152bb35faf3774cc875858d4994d60

Observation 062e6db6-24dd-4e75-9cda-1dab709d129c · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.670327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.495552Z digest=sha256:3b08696f26b1e7bd468cda88654470a427b211d14e2e383bc7c6c5a66c560142

Observation 86bbc277-67b1-445e-8440-946415b3c3c4 · outbound

This paper cites Hardy and J.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Hardy and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.655207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.499963Z digest=sha256:42fb670bec1b9f74047458cfbf25c328d721ed0ffa191c3537663fd9d4c4e2ee

Observation 2cf228d8-a325-4ea5-878d-22755a739c36 · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.640648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.505211Z digest=sha256:9d6c31e8a6e03037cb7a3bfd00b4370309e7bf3a90a7bf18ec0b276e278d3037

Observation 8d63e3d3-a8f6-4646-9e24-98864daa7b9e · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.625911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.509576Z digest=sha256:fbf09e12e3214b380e2a17c0451374ee5dceb29aeef1c3921f2dda3c9aa9d1b4

Observation f5ebcfe2-4eee-4a1c-b407-2ac19c10eb3c · outbound

This paper cites Nakajima.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Nakajima

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:57:10.610046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.513894Z digest=sha256:acdc41de4ad84da426c996251159a4fb009f8d2604d4475b3394fb2dfd4bd875

Observation 9f8acf1c-fac2-4fdc-8c88-1791ed97dbc9 · outbound

This paper cites an unresolved cited work.

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:57:10.589750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T11:57:10.518363Z digest=sha256:3008fd7b2f0b00874bf5fff90d13a2d9b55e635b89524a31977f99676558e85e

Pith citing papers

No inbound Pith citation observations are available.