Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:22:40.828545Z
Paper Citation Record · LEDGER
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits
As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2507.06609.
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 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-10T15:16:23.356589Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T10:56:02.941386Z
Reference resolution
43 of 43 outbound references displayed
- verified exact2
- verified fuzzy21
- unresolved20
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8066079f-9051-4e45-a970-55bd1dcc75f8 · outbound
This paper cites Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:22:41.214041Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 80449d39-0647-4902-8830-dd27fbc29551 · outbound
This paper cites Baier and M.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Baier and M
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:46.366871Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d0536f9f-5689-4ef3-a296-96bc971f8b32 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:46.134649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 16a82d8e-59c3-455b-af17-a4923ec14421 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:45.953273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b1c19086-f4df-4360-9ac5-0424f40ecf33 · outbound
This paper cites Chandee, Explicit upper bounds for L-functions on the critical line , Proc.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Chandee, Explicit upper bounds for L-functions on the critical line , Proc
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:45.805921Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c9fc5f8b-6770-4c1d-8961-6b0db7aaaf76 · outbound
This paper cites Chinta, Analytic ranks of elliptic curves over cyclotomic fields , J.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Chinta, Analytic ranks of elliptic curves over cyclotomic fields , J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:45.629194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ba50ce5a-1da4-4840-9288-b6e57da4e257 · outbound
This paper cites Chowla, The Riemann hypothesis and Hilbert’s tenth problem , London and Glasgow: Blackie & Son Ltd.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Chowla, The Riemann hypothesis and Hilbert’s tenth problem , London and Glasgow: Blackie & Son Ltd
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:45.488986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation caf70913-526f-49d8-a3d8-83f6fc7ac482 · outbound
This paper cites David, A.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits David, A
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:22:40.543613Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3e49796a-814a-4a27-81c3-cfdc0b44e9e9 · outbound
This paper cites David, A.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits David, A
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:45.350428Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ee938045-ddf7-44f0-90dd-37bfef8cc2e4 · outbound
This paper cites David and A.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits David and A
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:45.192017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 33727ac2-d8fb-4e53-9b2a-d6e1cc6d1efe · outbound
This paper cites Granville and K.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Granville and K
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:45.054441Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9ad0fadb-9b69-4b9e-b7b4-f7230c36fe73 · outbound
This paper cites Greenberg, On the Birch and Swinnerton-Dyer conjecture , Invent.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Greenberg, On the Birch and Swinnerton-Dyer conjecture , Invent
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:44.892903Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3a640f08-6d7c-409a-b13f-f305c4c58b4a · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:44.719145Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f5491558-97ec-4e6e-b9d8-cb0869f60f06 · outbound
This paper cites Conf., Stillwater/Okla.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Conf., Stillwater/Okla
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:44.545269Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a3125700-4509-462b-9821-60742d5f08ba · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:44.392514Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 56df2bbd-8cb2-49b4-ad4d-29f9735bb67a · outbound
This paper cites Sharp conditional bounds for moments of the Riemann zeta function.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Sharp conditional bounds for moments of the Riemann zeta function
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:22:40.612129Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f46c57c-b718-40a9-8f3f-199acf2e7600 · outbound
This paper cites Iwaniec and P.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Iwaniec and P
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:44.211628Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2187491d-65cb-43f1-8afb-8d177cbe3dc7 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:44.067987Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 10fca6d4-3fca-4ba9-9a78-5a1fcb1d0f94 · outbound
This paper cites II , Math.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits II , Math
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:43.901797Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0016a494-1672-4bc1-8eba-50ce803af062 · outbound
This paper cites Khan and H.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Khan and H
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:43.728486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d5d423fa-3250-4d0c-a65e-cd16233a47fc · outbound
This paper cites Lester and M.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Lester and M
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:43.548572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3c508b40-bea1-4586-90f1-d5f7f23ad327 · outbound
This paper cites Mazur, Rational points of abelian varieties with values in towers of number fields , Invent.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Mazur, Rational points of abelian varieties with values in towers of number fields , Invent
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:43.371163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c2cf83ec-4f84-494f-bae7-e571a63ec290 · outbound
This paper cites Michel and J.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Michel and J
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:43.147472Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b52cae02-3c17-45e5-b802-8377da4b15b5 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:42.918438Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 80c964ea-05ba-493b-8cba-348f2a7d096c · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:42.765168Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ad5b85da-8387-4730-aaec-0dfaae99369a · outbound
This paper cites Moments and non-vanishing of $L$-functions over thin subgroups.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Moments and non-vanishing of $L$-functions over thin subgroups
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:22:40.933847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7b00eb28-b8ec-4ac6-91a0-f189386fe0d0 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:42.589488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 67aadb79-1a7a-461c-8696-a806c2baac4f · outbound
This paper cites Petrow and M.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Petrow and M
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:42.386011Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5b15a6c2-a103-46ff-8d6c-8419e3c05ed9 · outbound
This paper cites Non-vanishing of Dirichlet $L$-functions at the Central Point.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Non-vanishing of Dirichlet $L$-functions at the Central Point
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:22:40.711799Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bcc2fcb7-748c-48e7-a1c6-5501009f6f3f · outbound
This paper cites Ridout, The p-adic generalization of the Thue-Siegel-Roth theorem , Mathematika 5 (1958), 40–48.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Ridout, The p-adic generalization of the Thue-Siegel-Roth theorem , Mathematika 5 (1958), 40–48
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:42.225027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c5fbb92b-e882-4c98-9cf9-e6ceb265e533 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:42.056528Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cfe46fb0-8c30-4e56-8ef2-c842d38c444f · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:41.881221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation be76d146-42a8-4f4b-8aad-88d5ed62342b · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:41.749210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4ae39f96-4b21-45d4-b0c8-6356ace01664 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:41.594161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 353ef5a4-b76b-4ebe-b668-6e34d93b6da7 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:41.552431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 876c2299-3132-4091-9c3d-06773872b72b · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:41.490893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f50ba774-8bfd-489a-96ac-eea7fa60c30f · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:41.452696Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5b624f77-e22b-4ec3-a03e-1a5aadd3668e · outbound
This paper cites Shimura, The special values of the zeta functions associated with cusp forms , Comm.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Shimura, The special values of the zeta functions associated with cusp forms , Comm
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:41.404398Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8191ad3a-46a1-48f5-b969-399c32892f84 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:41.375470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bb70a3ce-3d76-472e-975d-123f49221c27 · outbound
This paper cites Soundararajan, Nonvanishing of quadratic Dirichlet L-functions at s = 1 2 , Ann.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Soundararajan, Nonvanishing of quadratic Dirichlet L-functions at s = 1 2 , Ann
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:41.332865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 83c5a093-7fa1-40a8-939f-f6227893e549 · outbound
This paper cites an unresolved cited work.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:22:41.298017Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9964f66b-eebc-42da-998b-ecf7ca684a25 · outbound
This paper cites 2, 37 pp.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits 2, 37 pp
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:41.273110Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 762b0342-252b-49f7-8de3-47109f2d480f · outbound
This paper cites Zacharias, Simultaneous non-vanishing for Dirichlet L-functions, Ann.
Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits Zacharias, Simultaneous non-vanishing for Dirichlet L-functions, Ann
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:22:41.240431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
Observation 0e4e4b30-bb7b-4649-b208-ac33c73a2f1b · inbound
Simultaneous non-vanishing of Dirichlet L-functions cites this paper.
Simultaneous non-vanishing of Dirichlet L-functions Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T10:56:02.949262Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.