Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T13:17:30.978589Z
Paper Citation Record · LEDGER
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs
As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2608.04948.
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 2026-08-08T06:32:00.761636+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
17 of 17 outbound references displayed
- verified exact1
- verified fuzzy11
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3a1b6a18-a1bb-4faf-92ab-0d02e58f1b99 · outbound
This paper cites Decoupling theorems for the duffin-schaeffer problem, 2019.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Decoupling theorems for the duffin-schaeffer problem, 2019
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.300122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 12fda760-cd57-48f8-8d56-7239320b1f02 · outbound
This paper cites On some exponential sums.Proc.Natl.Acad.Sci.USA, pages 204–207, 1948.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs On some exponential sums.Proc.Natl.Acad.Sci.USA, pages 204–207, 1948
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.283042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b2963267-bf61-4ab0-b7a9-a41f069b47d1 · outbound
This paper cites Proof of the main conjecture in vinogradov’s mean value theorem for degrees higher than three.Ann.Math., pages 633–682(2), 2016.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Proof of the main conjecture in vinogradov’s mean value theorem for degrees higher than three.Ann.Math., pages 633–682(2), 2016
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.267092Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9416b0d8-39b4-4b28-8037-eb2d32ec0c7b · outbound
This paper cites an unresolved cited work.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:17:31.252050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7e7e8a72-b879-4b79-99fb-dc8f5649fd5a · outbound
This paper cites Metric theory of weyl sums, 2023.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Metric theory of weyl sums, 2023
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.234183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d6f06ed4-61ba-4827-9d9b-a91e0a7f6b0f · outbound
This paper cites Shparlinski.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Shparlinski
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.217755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ac9699bd-ab9f-43c4-8de9-0aa7d7bbfa72 · outbound
This paper cites Higher Education Press, 2015.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Higher Education Press, 2015
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.200998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aa89145d-23a6-4103-bc3e-e5c2eb47d875 · outbound
This paper cites American Mathematical Society, 1965.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs American Mathematical Society, 1965
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.185856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1adc8045-7193-4eaf-8ac4-7cc0c4fa6c18 · outbound
This paper cites On the duffin-schaeffer conjecture.Ann.Math., pages 251–307(1), 2020.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs On the duffin-schaeffer conjecture.Ann.Math., pages 251–307(1), 2020
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.169917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 45fb1f7d-438b-4267-9c77-f7089a5ba7f1 · outbound
This paper cites An almost sharp quantitative version of the duffin-schaeffer conjecture.Duke.Math.J, pages 2011–2065(10), 2025.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs An almost sharp quantitative version of the duffin-schaeffer conjecture.Duke.Math.J, pages 2011–2065(10), 2025
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.152888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a1c395b2-8864-4a08-a253-b0772db80b52 · outbound
This paper cites An extended Vinogradov's mean value theorem.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs An extended Vinogradov's mean value theorem
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T13:17:31.027615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0c8f99c2-10e6-4b84-9344-ce3667616a71 · outbound
This paper cites Pan and C.B.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Pan and C.B
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.134762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f38b7586-71e9-4860-9511-3c776ea7cffc · outbound
This paper cites Shparlinski and J¨ org M.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Shparlinski and J¨ org M
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T13:17:31.116314Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6bac487b-c9b3-41d5-acf4-ff998f0fffa2 · outbound
This paper cites an unresolved cited work.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:17:31.099141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation af4389b4-9582-43aa-b867-804ee72993cd · outbound
This paper cites an unresolved cited work.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:17:31.078677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation df3803ce-8af4-40dd-b4f2-19958bb4e508 · outbound
This paper cites an unresolved cited work.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:17:31.061192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4fb19fcd-c8e9-4f1f-8922-35ff67f1698c · outbound
This paper cites an unresolved cited work.
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T13:17:31.044904Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
No inbound Pith citation observations are available.