Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The typical size of character and zeta sums is $o(\sqrt{x})$
As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2301.04390.
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 2026-08-07T04:56:23.985574Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T07:26:45.348098Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation d58505d9-a899-491d-ab39-e9bd61e39bd7 · inbound
Lower bounds for high moments of zeta sums cites this paper.
Lower bounds for high moments of zeta sums The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T04:56:23.985574Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4900ec7a-bbc3-4514-90b6-fdaa0f3c6b2b · inbound
Large values of character sums with multiplicative coefficients cites this paper.
Large values of character sums with multiplicative coefficients The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T21:03:17.874792Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3a39f573-8790-432a-8e91-a2f6c442e32f · inbound
Large character sums with multiplicative coefficients cites this paper.
Large character sums with multiplicative coefficients The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:58:15.935612Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 973ea06a-b060-4db0-af19-9100fa8c81cf · inbound
Large values of Dirichlet polynomials with multiplicative coefficients cites this paper.
Large values of Dirichlet polynomials with multiplicative coefficients The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T18:59:14.336105Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 214b6c4a-4605-4444-9763-e90f14db7ebc · inbound
A few notes on the asymptotic behavior of Rademacher random multiplicative functions cites this paper.
A few notes on the asymptotic behavior of Rademacher random multiplicative functions The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T14:32:40.099029Z
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 b82e520e-8f46-4649-b5a7-97b4fa92083c · inbound
A few notes on the asymptotic behavior of Rademacher random multiplicative functions cites this paper.
A few notes on the asymptotic behavior of Rademacher random multiplicative functions The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T15:42:39.921586Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 408ca8eb-8f0b-4dbe-8d95-001df2703cf6 · inbound
Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms cites this paper.
Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T08:25:59.121433Z
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 68a844a0-7fa4-4d58-bee6-88133a2c5a47 · inbound
High moments of random multiplicative functions twisted by Fourier coefficients of modular forms cites this paper.
High moments of random multiplicative functions twisted by Fourier coefficients of modular forms The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T00:56:24.257346Z
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 0b70ccd8-fead-41e2-8dc6-015624d2eba0 · inbound
Character sums over smooth numbers cites this paper.
Character sums over smooth numbers The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T07:26:45.349818Z
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 47d30289-02c8-4ebb-8a4c-ad2bb5b434dd · inbound
Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights cites this paper.
Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T06:56:43.911726Z
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 ec95d2a9-d739-4c25-9fde-b4d999dd5150 · inbound
A sharp almost sure upper bound for partial sums of random multiplicative functions cites this paper.
A sharp almost sure upper bound for partial sums of random multiplicative functions The typical size of character and zeta sums is $o(\sqrt{x})$
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T07:23:08.948128Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.