Paper Citation Record · LEDGER

On the series expansion of the secondary zeta function about $s=1$ and its coefficients

As of 11 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2603.21555.

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

pith.paper-citation-record.v1
2603.21555 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T20:17:09.666943Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

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External citation measurements

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Outbound references

Observation f939c2b2-82ca-4909-8c6b-ed4693755c64 · outbound

This paper cites Abramowitz and I.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Abramowitz and I

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 9b4aee8f-ddde-4afb-8087-43a260cb944f · outbound

This paper cites Computation of the secondary zeta function.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Computation of the secondary zeta function

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 47ecda55-04e3-4ec0-9a5f-3a911b1307a9 · outbound

This paper cites Accurate estimation of sums over zeros of the Riemann zeta-function.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Accurate estimation of sums over zeros of the Riemann zeta-function

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 83a08006-9fc7-46b8-bd7e-d61f5443e4c2 · outbound

This paper cites Brent, D.J.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Brent, D.J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 7d709b1d-51e0-443a-a5a3-4d3f1054566e · outbound

This paper cites Brent,A sum over non-trivial zero of the Riemann zeta-function, Sept.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Brent,A sum over non-trivial zero of the Riemann zeta-function, Sept

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation f82068e0-7acc-4695-aa8c-a6aa21db6173 · outbound

This paper cites On certain sums over ordinates of zeta-zeros II.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients On certain sums over ordinates of zeta-zeros II

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Unavailable: canonical work link unavailable.

Observation 7563f5d4-df45-4ddb-a6bc-f60d196cf659 · outbound

This paper cites Chakravarty,The secondary zeta-functions, J.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Chakravarty,The secondary zeta-functions, J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Unavailable: canonical work link unavailable.

Observation ee216978-cb88-4f8c-8b34-28d87d9c664f · outbound

This paper cites Chakravarty,Certain properties of a pair of secondary zeta-functions, J.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Chakravarty,Certain properties of a pair of secondary zeta-functions, J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 95f51d9f-f847-4bf1-9099-d610e1d87903 · outbound

This paper cites Chakravarty,On the functional equation of the secondary zeta-functions, Aequationes Math.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Chakravarty,On the functional equation of the secondary zeta-functions, Aequationes Math

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 0e3538d9-72b9-4ba5-8610-6124b5703e88 · outbound

This paper cites Delsarte,Formules de Poisson avec reste, J.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Delsarte,Formules de Poisson avec reste, J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Unavailable: canonical work link unavailable.

Observation 00205bde-dc6a-4aaa-8fec-d1a777533ca5 · outbound

This paper cites an unresolved cited work.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation b0706144-1f45-4413-9fd3-7a896b454050 · outbound

This paper cites Hassani.Explicit Approximation Of The Sums Over The Imaginary Part of The Non-Trivial Zeros of The Riemann Zeta Function.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Hassani.Explicit Approximation Of The Sums Over The Imaginary Part of The Non-Trivial Zeros of The Riemann Zeta Function

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation fc92d7b5-d42a-4a97-bb5c-4c8350288d31 · outbound

This paper cites Hassani.On A Sum Related By Non-trivial Zeros Of The Riemann Zeta Function.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Hassani.On A Sum Related By Non-trivial Zeros Of The Riemann Zeta Function

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 89d3ed92-c634-45eb-afbc-a03d6c4884b1 · outbound

This paper cites On certain sums over ordinates of zeta zeros.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients On certain sums over ordinates of zeta zeros

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 88966fa2-3f39-40fe-bade-9a05996563d9 · outbound

This paper cites Johansson,mpmath: a Python library for arbitrary-precision floating-point arithmetic (ver- sion 1.1.0), December 2018.https://www.mpmath.org.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Johansson,mpmath: a Python library for arbitrary-precision floating-point arithmetic (ver- sion 1.1.0), December 2018.https://www.mpmath.org

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

Source-reported events for the cited work

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Observation 525e3845-d32b-4fa6-9ee9-d66f32950695 · outbound

This paper cites On the series expansion of the secondary zeta function.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients On the series expansion of the secondary zeta function

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 56ae51cc-4751-446a-9ba6-edf5681a5ccc · outbound

This paper cites an unresolved cited work.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cc4cb94-4128-486b-bf21-bc4be916285a · outbound

This paper cites Levinson,On the secondary zeta-functions, Journal of Mathematical Analysis And Appli- cations,54(2001) 390-401.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Levinson,On the secondary zeta-functions, Journal of Mathematical Analysis And Appli- cations,54(2001) 390-401

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 35f0d78d-f509-4ca4-9344-d9f75c83d9da · outbound

This paper cites Bordeaux, (2019).

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Bordeaux, (2019)

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 55d64d74-cfb4-4830-b3c1-1d8ae8eab499 · outbound

This paper cites Titchmarsh,The Theory of the Riemann Zeta-function, The Clarendon Press Oxford University Press, New York, 2nd ed.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Titchmarsh,The Theory of the Riemann Zeta-function, The Clarendon Press Oxford University Press, New York, 2nd ed

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation f60fcfa5-419e-4a8a-a29d-62248ed61612 · outbound

This paper cites Voros.Zeta functions for the Riemann zeros.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Voros.Zeta functions for the Riemann zeros

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Observation 30100dca-e7fc-439d-a0bc-6d75c357267a · outbound

This paper cites Voros.Zeta Functions over Zeros of Zeta Functions.

On the series expansion of the secondary zeta function about $s=1$ and its coefficients Voros.Zeta Functions over Zeros of Zeta Functions

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T20:17:09.666943Z

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Pith citing papers

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