Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T08:49:15.693897Z
Paper Citation Record · LEDGER
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures
As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2606.28832.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
19 of 19 outbound references displayed
- verified exact1
- verified fuzzy18
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d3801e83-643f-47e8-88ae-7cbe783d9ca4 · outbound
This paper cites H., Littlewood J.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures H., Littlewood J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.670863Z
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 d7da1fb4-a8e6-4247-ae53-b3b8891c914a · outbound
This paper cites T., Horn R.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures T., Horn R
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.672379Z
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 697a5e63-e992-4644-a32f-28962d96c921 · outbound
This paper cites Topics in Galois Theory.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Topics in Galois Theory
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.674106Z
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 d3ebf76f-754f-44c7-85dc-d21b44821a40 · outbound
This paper cites Lectures on \\(N_X(p)\\).
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Lectures on \\(N_X(p)\\)
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.686656Z
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 75c3a209-0782-44fd-b3cb-571dcd0970b3 · outbound
This paper cites H., Wright E.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures H., Wright E
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.692606Z
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 a0c01a97-d4e2-43b5-b626-18aa419f2316 · outbound
This paper cites L., Vaughan R.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures L., Vaughan R
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.681398Z
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 1554a69b-e26e-4b16-9cac-366edcdb082f · outbound
This paper cites A nalytic Number Theory.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures A nalytic Number Theory
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.686425Z
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 fee7dcbd-f416-425a-b19e-9345172cf523 · outbound
This paper cites Über Gruppencharaktere.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Über Gruppencharaktere
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.676042Z
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 c37c9387-b37a-4fff-a6a9-33de80696985 · outbound
This paper cites Die Bestimmung der Dichtigkeit einer Menge von Primzah len, welche zu einer gegebenen Substitutionsklasse gehören.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Die Bestimmung der Dichtigkeit einer Menge von Primzah len, welche zu einer gegebenen Substitutionsklasse gehören
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.677180Z
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 ec84af3c-7bc6-4a2f-bb55-bae6ee9430e9 · outbound
This paper cites C., Odlyzko A.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures C., Odlyzko A
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.679052Z
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 9c198d3b-0aa2-4975-8813-5c057897d2b8 · outbound
This paper cites A., Pintz J., Yıldırım C.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures A., Pintz J., Yıldırım C
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.674987Z
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 5fa4a45d-b0e2-4ef5-9906-8b1357511e1c · outbound
This paper cites Algebraic Number Theory, 2nd ed.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Algebraic Number Theory, 2nd ed
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.681083Z
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 b6c91c23-7a01-45a0-955c-806cf035dd44 · outbound
This paper cites R., Murty V.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures R., Murty V
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.687950Z
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 4adb4908-4bb8-4cd7-92c3-800c9e0c0a62 · outbound
This paper cites Small gaps between primes.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Small gaps between primes
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.689493Z
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 4479979b-2285-4682-b6a2-86d52527058f · outbound
This paper cites Every odd number greater than 1 is the sum of at most five primes.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Every odd number greater than 1 is the sum of at most five primes
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.677966Z
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 d8c72ee4-1eda-4c67-be03-ee42b8af8d61 · outbound
This paper cites The distri bution of values of \\(L(1,\chi_d)\\).
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures The distri bution of values of \\(L(1,\chi_d)\\)
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.690128Z
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 2955e61d-6edd-4e71-8389-12e288152d64 · outbound
This paper cites Algebraic trace functions over the primes.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Algebraic trace functions over the primes
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.683260Z
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 7b2c4de9-8349-477f-af2b-75f35d37085b · outbound
This paper cites M., Sar nak P.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures M., Sar nak P
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-10T13:47:06.691061Z
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 933595a8-ae19-412e-932b-e9dd911ba11a · outbound
This paper cites Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture.
Estimating the tail of the singular product for the Hardy Littlewood and Bateman Horn conjectures Effective Bounds for Singular Series in the Multivariate Bateman Horn Conjecture
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-06-30T08:54:29.803722Z
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
No inbound Pith citation observations are available.