Paper Citation Record · LEDGER

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function

As of 13 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2106.03005.

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

pith.paper-citation-record.v1
2106.03005 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T08:35:14.978508Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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 exact2
verified fuzzy13
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 79a2eb4c-4f13-4459-aae6-6c4d7687e35f · outbound

This paper cites Complements to Li’s Criterion of the Riemann Hypothesis.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function Complements to Li’s Criterion of the Riemann Hypothesis

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.938493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8e455f6f-90d5-4215-9940-d6d52d76cce5 · outbound

This paper cites Jean Coquet.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function Jean Coquet

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.915043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 21c4976b-991f-46e6-9b62-17eca1e31af7 · outbound

This paper cites On a Conjecture of Shanks.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function On a Conjecture of Shanks

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.934213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0ca62bbb-b04b-4a01-83f2-96fd8382f76a · outbound

This paper cites On the Distribution of Values of the Derivative of the Riemann Zeta Function at Its Zeros.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function On the Distribution of Values of the Derivative of the Riemann Zeta Function at Its Zeros

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.911807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e45d0823-616a-4f73-9e1d-5ecd1a44e2e3 · outbound

This paper cites One inequality involving simple zeros ofζ(s).

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function One inequality involving simple zeros ofζ(s)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.882381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2a7b0030-2a2f-4629-998e-a1101a222da2 · outbound

This paper cites Mean values of the Riemann zeta-function and its derivatives.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function Mean values of the Riemann zeta-function and its derivatives

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.918942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e28d69e5-7059-4d3e-9feb-e207a94d8391 · outbound

This paper cites The Laurent expansion of the Riemann zeta function.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function The Laurent expansion of the Riemann zeta function

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.895955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4f2037d0-44c8-47bc-9687-eb25ac0c90a9 · outbound

This paper cites Dover Pub- lications, Inc.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function Dover Pub- lications, Inc

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.907825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 356e67f3-fa70-424e-ad41-dc6024c89ffc · outbound

This paper cites and Yıldırım, C.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function and Yıldırım, C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.900308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0dd97669-7264-4515-8bb2-9d9b964e17d2 · outbound

This paper cites Effective method of computing Li's coefficients and their properties.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function Effective method of computing Li's coefficients and their properties

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-25T08:35:32.275425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7dbe9a2b-ed1a-4cba-aea4-8697812018bf · outbound

This paper cites and Vaughan, R.C.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function and Vaughan, R.C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.903917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 16385c39-75fc-4943-877b-2d019ef60d07 · outbound

This paper cites Review of ‘Tables of the Riemann zeta function’ by C.B.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function Review of ‘Tables of the Riemann zeta function’ by C.B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.922706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 25bb3487-e32c-4eed-b654-95381864b800 · outbound

This paper cites Notes on the Phase Statistics of the Riemann Zeros.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function Notes on the Phase Statistics of the Riemann Zeros

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-25T08:35:32.268916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 44601c1c-ba83-4fa8-9c21-7e488ad28adf · outbound

This paper cites The Theory of the Riemann Zeta-Function.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function The Theory of the Riemann Zeta-Function

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.926389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 18bcd354-632e-4555-81c6-9eb84174e623 · outbound

This paper cites On a conjecture of Shanks.

A discrete mean-value theorem for the higher derivatives of the Riemann zeta function On a conjecture of Shanks

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:35:32.930469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.