Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-25T08:35:14.978508Z
Paper Citation Record · LEDGER
A discrete mean-value theorem for the higher derivatives of the Riemann zeta function
As of 12 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.