Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T11:12:25.897817Z
Paper Citation Record · LEDGER
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line
As of 12 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2411.18492.
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
42 of 42 outbound references displayed
- verified exact1
- verified fuzzy28
- unresolved13
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 356505e4-bd88-49b9-a3ea-1a6fd859e8b4 · outbound
This paper cites Bombieri, A.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Bombieri, A
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.500920Z
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 92d7c7d2-6c4c-4e69-9fbc-95cba60be1d6 · outbound
This paper cites Bombieri, D.A.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Bombieri, D.A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.471477Z
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 f8424278-e153-4846-bb3e-ca3cbed2fdad · outbound
This paper cites Bombieri, D.A.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Bombieri, D.A
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.442727Z
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 37e99b49-1419-4da8-98f4-66cf891932b4 · outbound
This paper cites Chudakov, Vvedenije v teoriju L-funkcij Dirichlet.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Chudakov, Vvedenije v teoriju L-funkcij Dirichlet
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.400496Z
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 2edce17a-4719-46ad-9a2f-469b03f44b15 · outbound
This paper cites Davenport, H.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Davenport, H
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.363187Z
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 95b31f17-2142-4d7f-a177-3c01e9a8f2fa · outbound
This paper cites Ghosh, On the Riemann zeta-function - Mean value theorems and the distrib ution of |S(T )|, J.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Ghosh, On the Riemann zeta-function - Mean value theorems and the distrib ution of |S(T )|, J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.331793Z
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 bda987ba-3471-44d1-b2f9-e81a7d0471b3 · outbound
This paper cites Hafner, Zeros on the critical line of Dirichlet series attached to certain cusp forms, Math.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Hafner, Zeros on the critical line of Dirichlet series attached to certain cusp forms, Math
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.288647Z
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 e70530e5-d415-49a7-914e-646bf9811d54 · outbound
This paper cites Hafner, Zeros on the critical line for Maass wave form L-functions, J.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Hafner, Zeros on the critical line for Maass wave form L-functions, J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.257877Z
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 76ff7dcb-cd28-49cf-b35e-acb0fe6b3f12 · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:27.212512Z
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 d4912d63-85c2-48fb-94d0-4fbfb2f71b49 · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:27.179720Z
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 024f299a-ee9f-4d69-98f9-f801ac32f071 · outbound
This paper cites Hecke, ¨Uber die Zetafunktion beliebiger algebraischer Zahlk¨ orper, Nach.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Hecke, ¨Uber die Zetafunktion beliebiger algebraischer Zahlk¨ orper, Nach
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.126200Z
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 546d8c16-0a30-4576-ad48-e842970bb691 · outbound
This paper cites Hecke, Vorlesungen uber die Theorie der algebraischen Zahle n, Akademische Verlag, Leipzig 1923; Russian transl., GITTL, Moscow-Leningrad 1940.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Hecke, Vorlesungen uber die Theorie der algebraischen Zahle n, Akademische Verlag, Leipzig 1923; Russian transl., GITTL, Moscow-Leningrad 1940
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.092290Z
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 47bb796e-8c9a-4416-b939-555097588cce · outbound
This paper cites Hecke, Zur Theorie der elliptischen Modulfunktionen, Mathematische Annale n.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Hecke, Zur Theorie der elliptischen Modulfunktionen, Mathematische Annale n
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.048057Z
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 17225212-3c37-4620-bf7c-4b4d34217fe9 · outbound
This paper cites Hecke, ¨Uber Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Pr o- duktentwicklung.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Hecke, ¨Uber Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Pr o- duktentwicklung
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:27.018702Z
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 7db2b15f-0917-4637-ae8e-a927258689a6 · outbound
This paper cites Iwaniec, Topics in classical automorphic forms.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Iwaniec, Topics in classical automorphic forms
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.981823Z
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 eee75956-6c28-427e-bce5-73e24fda1887 · outbound
This paper cites Iwaniec, E.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Iwaniec, E
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.950070Z
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 1fe3ed98-bf23-46f7-9a5b-b0d7415bd696 · outbound
This paper cites Iwaniec, Spacing of zeros of Hecke L-functions and the class number problem, Acta Arith.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Iwaniec, Spacing of zeros of Hecke L-functions and the class number problem, Acta Arith
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.921536Z
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 638d6f3e-46a3-4aa6-9b65-665ae67b9890 · outbound
This paper cites Kaczorowski, A.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Kaczorowski, A
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.872554Z
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 18ed876d-cb97-4777-b311-d79d73a3207a · outbound
This paper cites Kaczorowski, A.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Kaczorowski, A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.845633Z
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 2936315b-ea36-4703-a1bd-a4f85bcc6932 · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.806153Z
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 6239e4fa-def7-4bd1-adff-def999a331cd · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.775526Z
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 ffade3f9-2ea3-4e7a-856c-52e411222673 · outbound
This paper cites On the zeros of Epstein zeta functions.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line On the zeros of Epstein zeta functions
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T11:12:26.015774Z
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 c0933f97-7c9e-4b2d-ae23-2deae0376ef5 · outbound
This paper cites Luo, Zeros of Hecke L-functions associated with cusp forms, Acta Arit h.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Luo, Zeros of Hecke L-functions associated with cusp forms, Acta Arit h
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.739622Z
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 90830a4c-0033-4522-a0c7-36087137b520 · outbound
This paper cites Rankin, Contributions to the theory of Ramanujan’s function τ(n) and similar arithmetical questions II, Proc.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Rankin, Contributions to the theory of Ramanujan’s function τ(n) and similar arithmetical questions II, Proc
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.707327Z
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 d3a86fe5-9521-4813-b64d-726327886ded · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.664647Z
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 18ce8ea9-b3e9-4335-b04a-e380bf646327 · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.625098Z
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 efbd6af3-541b-4745-8656-73a25a07a8fc · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.579466Z
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 558cf6d0-8b8e-41ae-9331-1450ec66f553 · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.540813Z
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 16e3b45a-90a5-4d89-92a4-0f999c6544b2 · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.511712Z
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 edeb652a-3ac9-4ea5-b7a7-52e332d6ce22 · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.473000Z
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 56345c67-6df9-454c-b5fd-4f9a8077d8e0 · outbound
This paper cites Richert, ¨Uber Dirichletreihen mit Funktionalgleichung, Acad.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Richert, ¨Uber Dirichletreihen mit Funktionalgleichung, Acad
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.441049Z
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 daa3921d-d4ff-4340-9815-51a901dcfa9d · outbound
This paper cites Sankaranarayanan, On Hecke L -functions associated with cusp forms.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Sankaranarayanan, On Hecke L -functions associated with cusp forms
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.400981Z
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 d1734ca2-0456-4ed0-8a86-b79735475ad5 · outbound
This paper cites Selberg, On the zeros of the zeta-function of Riemann, Kgl.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Selberg, On the zeros of the zeta-function of Riemann, Kgl
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.367137Z
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 f7f52aae-893c-4814-aabb-16e3bd595c33 · outbound
This paper cites Selberg, On the zeros of Riemann’s zeta-function, Skr.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Selberg, On the zeros of Riemann’s zeta-function, Skr
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.335095Z
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 d2fc2584-4413-4191-be24-ab54cf33a5a9 · outbound
This paper cites Selberg, Old and new conjectures about class of Dirichlet series, Collected pa pers, vol.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Selberg, Old and new conjectures about class of Dirichlet series, Collected pa pers, vol
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.292799Z
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 e7dd3c3d-986e-4607-a749-5c9a11649dca · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.263679Z
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 9209afcb-3c6f-4a37-8045-d54dd251cfb6 · outbound
This paper cites Random Matrices and their Applications.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Random Matrices and their Applications
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.234204Z
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 4a0545f1-5713-4c5f-af41-0d992f9d04f7 · outbound
This paper cites Selberg, Contributions to the theory of the Riemann zeta-function // Arch.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Selberg, Contributions to the theory of the Riemann zeta-function // Arch
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.201542Z
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 a8cb56d4-8684-4a48-b28f-bd957717b91f · outbound
This paper cites Soundararajan, Degree 1 elements of Selberg class // Expos.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Soundararajan, Degree 1 elements of Selberg class // Expos
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.174913Z
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 bc5fdb2a-8efe-4381-81bf-d73ab74840af · outbound
This paper cites Tsang, The distribution of the values of the Riemann zeta-function // Ph.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Tsang, The distribution of the values of the Riemann zeta-function // Ph
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T11:12:26.135630Z
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 2fd16e3d-caaa-4716-8142-07ec2e5bb248 · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.093386Z
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 1960c17c-7808-4767-ab07-4d312554775a · outbound
This paper cites an unresolved cited work.
The Epstein zeta-function contains a positive proportion of non-trivial zeros on the critical line Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T11:12:26.053386Z
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.