Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-02T06:49:02.518743Z
Paper Citation Record · LEDGER
Distribution of Selmer ranks in prime cyclic extensions
As of 17 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.01126.
A citation records a reference. It does not transfer a finding from one paper to another.
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Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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Source: cited_works
Reference resolution
39 of 39 outbound references displayed
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- unresolved3
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f160e023-3ab1-46d4-b44f-0863b6eb044a · outbound
This paper cites Explicit counting of ideals and a Brun-Titchmarsh inequality for the Chebotarev density theorem.
Distribution of Selmer ranks in prime cyclic extensions Explicit counting of ideals and a Brun-Titchmarsh inequality for the Chebotarev density theorem
Reference 1
- Resolution
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- raw_fallback, observed 2026-07-06T06:11:59.644326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 18a6cf9d-1949-4e15-acc2-4fe38520e342 · outbound
This paper cites Uniformity in Mordell–Lang for curves.
Distribution of Selmer ranks in prime cyclic extensions Uniformity in Mordell–Lang for curves
Reference 2
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- raw_fallback, observed 2026-07-06T06:11:59.639007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4c23f905-2e88-45d0-a5e5-d76738cd2628 · outbound
This paper cites Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields.
Distribution of Selmer ranks in prime cyclic extensions Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields
Reference 3
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- arxiv_id, observed 2026-07-08T01:19:04.050834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cd5e57cd-bf08-481c-85f3-92295d3c4071 · outbound
This paper cites Unconditional explicit M ertens' theorems for number fields and D edekind zeta residue bounds.
Distribution of Selmer ranks in prime cyclic extensions Unconditional explicit M ertens' theorems for number fields and D edekind zeta residue bounds
Reference 4
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- raw_fallback, observed 2026-07-06T06:11:59.640687Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 47041b1a-29e5-4fd7-9c5e-fe76fac2118b · outbound
This paper cites Heath-Brown.
Distribution of Selmer ranks in prime cyclic extensions Heath-Brown
Reference 5
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- raw_fallback, observed 2026-07-06T06:11:59.646226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8a367f9b-d640-47bd-9b90-0e171268016e · outbound
This paper cites On the ranks of the 2- S elmer groups of twists of a given elliptic curve.
Distribution of Selmer ranks in prime cyclic extensions On the ranks of the 2- S elmer groups of twists of a given elliptic curve
Reference 6
- Resolution
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- raw_fallback, observed 2026-07-06T06:11:59.699122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 15be0a17-bb5d-4911-91e0-cf4280a723e3 · outbound
This paper cites Disparity in S elmer ranks of quadratic twists of elliptic curves.
Distribution of Selmer ranks in prime cyclic extensions Disparity in S elmer ranks of quadratic twists of elliptic curves
Reference 7
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- raw_fallback, observed 2026-07-06T06:11:59.697333Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4d8fcfdb-4425-46eb-8835-6d0cc912d5a0 · outbound
This paper cites A Markov model for Selmer ranks in families of twists.
Distribution of Selmer ranks in prime cyclic extensions A Markov model for Selmer ranks in families of twists
Reference 8
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- raw_fallback, observed 2026-07-06T06:11:59.695590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ff672260-76c7-48e6-a92b-71bac714c21d · outbound
This paper cites A remark on the Mordell-Weil rank of elliptic curves over the maximal abelian extension of the rational number field.
Distribution of Selmer ranks in prime cyclic extensions A remark on the Mordell-Weil rank of elliptic curves over the maximal abelian extension of the rational number field
Reference 9
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- raw_fallback, observed 2026-07-06T06:11:59.700704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation de3b6846-904c-495a-bf35-598b6f9bfd2c · outbound
This paper cites Malle's conjecture for fair counting functions, 2023.
Distribution of Selmer ranks in prime cyclic extensions Malle's conjecture for fair counting functions, 2023
Reference 10
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- raw_fallback, observed 2026-07-06T06:11:59.687030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7f3f602a-22f9-4a26-91f9-a9cc089cb230 · outbound
This paper cites Algebraic number theory , volume 110 of Graduate Texts in Mathematics.
Distribution of Selmer ranks in prime cyclic extensions Algebraic number theory , volume 110 of Graduate Texts in Mathematics
Reference 12
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- raw_fallback, observed 2026-07-06T06:11:59.686674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5e9784ac-168a-4ad1-8407-f1e93d0d2abb · outbound
This paper cites A generalization of the Erd\"os-Kac theorem and its applications.
Distribution of Selmer ranks in prime cyclic extensions A generalization of the Erd\"os-Kac theorem and its applications
Reference 13
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- raw_fallback, observed 2026-07-06T06:11:59.685021Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 48856f05-71bd-4a4d-8c8b-d4a28d54aa8a · outbound
This paper cites A generalization of the Turan theorem and its applications.
Distribution of Selmer ranks in prime cyclic extensions A generalization of the Turan theorem and its applications
Reference 14
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- raw_fallback, observed 2026-07-06T06:11:59.689161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e4726ac3-b24d-4e12-803f-2d43c3e16cc5 · outbound
This paper cites The stable homology of Hurwitz modules and applications, 2025.
Distribution of Selmer ranks in prime cyclic extensions The stable homology of Hurwitz modules and applications, 2025
Reference 15
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- arxiv_id, observed 2026-07-02T06:56:43.832161Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 945dc826-289d-4ab4-bb68-54bc2d0213d7 · outbound
This paper cites Complex analysis on riemann surfaces, 2013.
Distribution of Selmer ranks in prime cyclic extensions Complex analysis on riemann surfaces, 2013
Reference 16
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3ee7192d-35f5-4e23-af86-0340eae1db6b · outbound
This paper cites Finding large S elmer rank via an arithmetic theory of local constants.
Distribution of Selmer ranks in prime cyclic extensions Finding large S elmer rank via an arithmetic theory of local constants
Reference 17
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4210135a-5217-499e-8446-7a7271aa8834 · outbound
This paper cites Markov chains and stochastic stability.
Distribution of Selmer ranks in prime cyclic extensions Markov chains and stochastic stability
Reference 18
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c8e62f5d-537b-4532-a492-8a94cd702f80 · outbound
This paper cites Multiplicative Number theory 1.
Distribution of Selmer ranks in prime cyclic extensions Multiplicative Number theory 1
Reference 19
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9236de77-5a15-4414-aaa3-4009abb180e9 · outbound
This paper cites Moderate and large deviations for the E rd\"os- K ac theorem.
Distribution of Selmer ranks in prime cyclic extensions Moderate and large deviations for the E rd\"os- K ac theorem
Reference 20
- Resolution
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ec4952ca-a99e-437d-b105-23ffb130aa92 · outbound
This paper cites The conductor density of abelian number fields.
Distribution of Selmer ranks in prime cyclic extensions The conductor density of abelian number fields
Reference 21
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d8897ed0-38b9-4b3f-ba6d-56c17d32b679 · outbound
This paper cites an unresolved cited work.
Distribution of Selmer ranks in prime cyclic extensions Unresolved cited work
Reference 22
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- raw_fallback, observed 2026-07-06T06:11:59.669673Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 01aecd9e-fd9b-4d31-b5bd-f8c457ea35f3 · outbound
This paper cites Mordell--Lang and disparate Selmer ranks of odd twists of some superelliptic curves over global function fields, 2025.
Distribution of Selmer ranks in prime cyclic extensions Mordell--Lang and disparate Selmer ranks of odd twists of some superelliptic curves over global function fields, 2025
Reference 23
- Resolution
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- arxiv_id, observed 2026-07-02T06:56:43.824893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7b90e5eb-9062-42a8-8fe7-31cf48b0da35 · outbound
This paper cites On the prime S elmer ranks of cyclic prime twist families of elliptic curves over global function fields.
Distribution of Selmer ranks in prime cyclic extensions On the prime S elmer ranks of cyclic prime twist families of elliptic curves over global function fields
Reference 24
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- raw_fallback, observed 2026-07-06T06:11:59.675955Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8921f2bc-282a-4658-a886-96f5bddfdd5c · outbound
This paper cites Random maximal isotropic subspaces and S elmer groups.
Distribution of Selmer ranks in prime cyclic extensions Random maximal isotropic subspaces and S elmer groups
Reference 25
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- raw_fallback, observed 2026-07-06T06:11:59.671586Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2ac436b7-e554-4cff-9fbe-3ec8a474f0cc · outbound
This paper cites Self cup products and the theta characteristic torsor.
Distribution of Selmer ranks in prime cyclic extensions Self cup products and the theta characteristic torsor
Reference 26
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- raw_fallback, observed 2026-07-06T06:11:59.665877Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cabe13bd-1335-4045-92dc-1143c108d843 · outbound
This paper cites The Cassels-Tate pairing on polarized abelian varieties.
Distribution of Selmer ranks in prime cyclic extensions The Cassels-Tate pairing on polarized abelian varieties
Reference 27
- Resolution
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- raw_fallback, observed 2026-07-06T06:11:59.666049Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 559e2b96-ca09-4927-bb06-f2aa67698b21 · outbound
This paper cites On the application of large deviation estimates to local solubility in families of varieties, 2025.
Distribution of Selmer ranks in prime cyclic extensions On the application of large deviation estimates to local solubility in families of varieties, 2025
Reference 28
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- arxiv_id, observed 2026-07-02T06:56:43.828667Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 05389206-5496-49cb-a956-cdac41eff3e3 · outbound
This paper cites On the Distribution of 2-Selmer ranks of Quadratic Twists of Elliptic Curves over $\mathbb{Q}$.
Distribution of Selmer ranks in prime cyclic extensions On the Distribution of 2-Selmer ranks of Quadratic Twists of Elliptic Curves over $\mathbb{Q}$
Reference 29
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- arxiv_id, observed 2026-07-02T06:56:43.821970Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 32ba9f19-7a4a-4ea3-86ff-20ff1ffafe11 · outbound
This paper cites A generalization of M ertens' theorem.
Distribution of Selmer ranks in prime cyclic extensions A generalization of M ertens' theorem
Reference 30
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- raw_fallback, observed 2026-07-06T06:11:59.671427Z
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Observation 9b2bff8a-b44f-4a59-a37b-73bba8135ccc · outbound
This paper cites an unresolved cited work.
Distribution of Selmer ranks in prime cyclic extensions Unresolved cited work
Reference 31
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- raw_fallback, observed 2026-07-06T06:11:59.658678Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 94c2d960-d0c4-4a27-ae95-713c7d0b436e · outbound
This paper cites Computing a Selmer group of a Jacobian using functions on the curve.
Distribution of Selmer ranks in prime cyclic extensions Computing a Selmer group of a Jacobian using functions on the curve
Reference 32
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- raw_fallback, observed 2026-07-06T06:11:59.657066Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1ebc674d-7f97-4ba3-96ab-f9765a13ae8d · outbound
This paper cites The effect of twisting on the 2- S elmer group.
Distribution of Selmer ranks in prime cyclic extensions The effect of twisting on the 2- S elmer group
Reference 33
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- raw_fallback, observed 2026-07-06T06:11:59.656638Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b2b51097-7c45-4ee0-adf3-025715ffb569 · outbound
This paper cites an unresolved cited work.
Distribution of Selmer ranks in prime cyclic extensions Unresolved cited work
Reference 34
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- raw_fallback, observed 2026-07-06T06:11:59.658926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation ebe36bb0-a8ff-4257-bc5d-c8d79e5a15f3 · outbound
This paper cites Quelques applications du théorème de densité de Chebotarev.
Distribution of Selmer ranks in prime cyclic extensions Quelques applications du théorème de densité de Chebotarev
Reference 35
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- raw_fallback, observed 2026-07-06T06:11:59.660584Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1d6493e8-6d22-4668-99b7-e24f29860a7d · outbound
This paper cites The distribution of ^ - S elmer groups in degree twist families I.
Distribution of Selmer ranks in prime cyclic extensions The distribution of ^ - S elmer groups in degree twist families I
Reference 36
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- raw_fallback, observed 2026-07-06T06:11:59.664168Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 10bb3ef1-7316-4749-af54-b21cdd1448d3 · outbound
This paper cites The distribution of ^ - S elmer groups in degree twist families II.
Distribution of Selmer ranks in prime cyclic extensions The distribution of ^ - S elmer groups in degree twist families II
Reference 37
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- raw_fallback, observed 2026-07-06T06:11:59.647851Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f6343804-578d-4d0c-8698-b9ecb2d7249e · outbound
This paper cites A sharpening of effective formulas of S elberg– D elange type for some arithmetic functions on the semigroup G_K.
Distribution of Selmer ranks in prime cyclic extensions A sharpening of effective formulas of S elberg– D elange type for some arithmetic functions on the semigroup G_K
Reference 38
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- raw_fallback, observed 2026-07-06T06:11:59.649561Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9e3029fb-2147-44c6-945a-01b37de95476 · outbound
This paper cites Selmer ranks of twists of hyperelliptic curves and superelliptic curves.
Distribution of Selmer ranks in prime cyclic extensions Selmer ranks of twists of hyperelliptic curves and superelliptic curves
Reference 39
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- raw_fallback, observed 2026-07-06T06:11:59.651893Z
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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1f4e8bc8-da49-493f-9a25-92d846d5e4f8 · outbound
This paper cites The distribution of Selmer ranks of quadratic twists of Jacobians of hyperelliptic curves.
Distribution of Selmer ranks in prime cyclic extensions The distribution of Selmer ranks of quadratic twists of Jacobians of hyperelliptic curves
Reference 40
- Resolution
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- raw_fallback, observed 2026-07-06T06:11:59.661400Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
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