Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:54:49.427561Z
Paper Citation Record · LEDGER
An extended Vinogradov's mean value theorem
As of 9 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2506.01751.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T13:17:30.950039Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T13:17:31.019913Z
Reference resolution
25 of 25 outbound references displayed
- verified exact0
- verified fuzzy10
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 221347aa-476a-4502-b3f8-05cd26028031 · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:52.432379Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fe0c4612-0fa3-4939-8027-7a4dfede96dc · outbound
This paper cites Local mean value estimates for W eyl sums.
An extended Vinogradov's mean value theorem Local mean value estimates for W eyl sums
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:52.264036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f7701a0b-0d9c-4ac0-a9db-881e80f425ba · outbound
This paper cites Proof of the main conjecture in V inogradov's mean value theorem for degrees higher than three.
An extended Vinogradov's mean value theorem Proof of the main conjecture in V inogradov's mean value theorem for degrees higher than three
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:54:47.875156Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ad94a135-7594-45b2-8836-3a3ac10d9885 · outbound
This paper cites On the inhomogeneous V inogradov system.
An extended Vinogradov's mean value theorem On the inhomogeneous V inogradov system
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:52.058538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ebf09c8e-2d2a-4222-8cb5-fb57cf4f8ee7 · outbound
This paper cites Bourgain.
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:54:48.135701Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7dc2322d-e3da-4cc4-9572-b4bae966831d · outbound
This paper cites A problem in additive number theory.
An extended Vinogradov's mean value theorem A problem in additive number theory
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:51.955675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f6e93502-48c7-4b08-9283-35f36062cbc2 · outbound
This paper cites Shparlinski.
An extended Vinogradov's mean value theorem Shparlinski
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:51.713463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6f7416e9-e561-425c-8097-57296fb341f2 · outbound
This paper cites Shparlinski.
An extended Vinogradov's mean value theorem Shparlinski
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:51.564744Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9d1c61f8-2e69-469c-938a-c8e15d312a8f · outbound
This paper cites On L^ 12 square root cancellation for exponential sums associated with nondegenerate curves in R ^4.
An extended Vinogradov's mean value theorem On L^ 12 square root cancellation for exponential sums associated with nondegenerate curves in R ^4
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:51.397898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 22964494-3ae4-473a-b602-c2bbd07c77c6 · outbound
This paper cites Small cap decouplings.
An extended Vinogradov's mean value theorem Small cap decouplings
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:51.274152Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 82f12f08-568d-408a-ad1b-d74c99f0ab79 · outbound
This paper cites Restriction of exponential sums to hypersurfaces.
An extended Vinogradov's mean value theorem Restriction of exponential sums to hypersurfaces
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:51.074687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8cdd603f-6cf2-4384-8305-45feae68ea11 · outbound
This paper cites Sharp superlevel set estimates for small cap decouplings of the parabola.
An extended Vinogradov's mean value theorem Sharp superlevel set estimates for small cap decouplings of the parabola
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:50.920130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 94c81c1c-4eb0-45ad-904f-bd79f0e3741e · outbound
This paper cites Small cap decoupling for the moment curve in R ^3 , 2022.
An extended Vinogradov's mean value theorem Small cap decoupling for the moment curve in R ^3 , 2022
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:54:48.791413Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f93286c4-00a2-44bd-8e59-b482b0fdca55 · outbound
This paper cites Improved decoupling for the parabola.
An extended Vinogradov's mean value theorem Improved decoupling for the parabola
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:54:48.856080Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d9d6850-39bf-4c62-839c-268cd13b2f59 · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:50.765040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 53c91634-7398-491e-a949-e1c2237991d2 · outbound
This paper cites Amplitude dependent wave envelope estimates for the cone in R ^3 , 2022.
An extended Vinogradov's mean value theorem Amplitude dependent wave envelope estimates for the cone in R ^3 , 2022
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:54:48.980003Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47858d05-f56f-4931-9e47-0b3c372e19e5 · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:50.627408Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 88d5cfb0-2b2f-4831-9079-49f024ca8c32 · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:50.475560Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e138d871-31e6-45ff-b80e-cc593484a812 · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:50.323298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a62bc29e-ded7-4584-b88e-7e8e68ddae78 · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:50.161513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4aa48138-ff29-4778-9b20-36f125723713 · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:50.012562Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6b4963be-295b-47e4-bdc7-01a81271d7aa · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:49.884938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5bf30f58-931d-4ba6-a022-7b198e308a57 · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:49.790364Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7b7f8789-0c19-4c50-b018-da2e260b3f55 · outbound
This paper cites an unresolved cited work.
An extended Vinogradov's mean value theorem Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:54:49.625540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 57d040ac-ff89-4b0d-a4ea-fb4ae49b46e9 · outbound
This paper cites Small fractional parts of polynomials and mean values of exponential sums.
An extended Vinogradov's mean value theorem Small fractional parts of polynomials and mean values of exponential sums
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:54:49.539157Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
Observation a1c395b2-8864-4a08-a253-b0772db80b52 · inbound
An Integral Mean Value Theorem for Weyl Sums over Broken Arcs cites this paper.
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 2026-08-09T06:31:02.800959+00:00.