Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-09T23:36:55.915060Z
Paper Citation Record · LEDGER
On the Hyperbolic Fractional Sum of the Divisor Function
As of 12 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2604.20400.
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 2026-08-12T06:34:41.77262+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
34 of 34 outbound references displayed
- verified exact1
- verified fuzzy24
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 34365a8b-70d1-4e24-a63c-7ae07eb5aca5 · outbound
This paper cites Bombieri, H.
On the Hyperbolic Fractional Sum of the Divisor Function Bombieri, H
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.861352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4ba53080-92bf-4e8b-98ff-1608e3ee73bd · outbound
This paper cites Bordell` es,On certain sums of number theory, Int.
On the Hyperbolic Fractional Sum of the Divisor Function Bordell` es,On certain sums of number theory, Int
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.867722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2481328c-0915-489c-8c39-cf1f481a2e13 · outbound
This paper cites Bordell` es, L.
On the Hyperbolic Fractional Sum of the Divisor Function Bordell` es, L
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.779258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b690fa6e-d6a0-45ab-9cff-d396bb51c615 · outbound
This paper cites Mean square of zeta function, circle problem and divisor problem revisited.
On the Hyperbolic Fractional Sum of the Divisor Function Mean square of zeta function, circle problem and divisor problem revisited
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T14:06:03.280939Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7bc2ca56-4f37-4053-b37a-80ef39e7b036 · outbound
This paper cites Var der Corput,Versharfung der Abscha: tzungen beim Teilerproblem, Math.
On the Hyperbolic Fractional Sum of the Divisor Function Var der Corput,Versharfung der Abscha: tzungen beim Teilerproblem, Math
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.880186Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 05224834-1d18-41e4-acb9-cd0438324907 · outbound
This paper cites Var der Corput,zum Teilerproblem, Math.
On the Hyperbolic Fractional Sum of the Divisor Function Var der Corput,zum Teilerproblem, Math
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.898184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e96cf62c-d981-4378-97aa-590939f4432b · outbound
This paper cites Fouvry, H.
On the Hyperbolic Fractional Sum of the Divisor Function Fouvry, H
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.890511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bfde62a8-765d-4c4f-9b00-5455170fd472 · outbound
This paper cites Graham and G.
On the Hyperbolic Fractional Sum of the Divisor Function Graham and G
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.884807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c3ee035a-f246-4f80-a660-2c3f8671bb0a · outbound
This paper cites Huxley,Exponential sums and lattice pointsIII, Proc.
On the Hyperbolic Fractional Sum of the Divisor Function Huxley,Exponential sums and lattice pointsIII, Proc
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.839933Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b703b551-5c1e-4cbc-8144-b4f423f62aa3 · outbound
This paper cites Iwanice, C.
On the Hyperbolic Fractional Sum of the Divisor Function Iwanice, C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.856230Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b7f9d78c-3efe-4307-b648-827ed01f300d · outbound
This paper cites Jia,The distribution of square-free numbers, Science in China (Ser.A).36(1993), 154-169.
On the Hyperbolic Fractional Sum of the Divisor Function Jia,The distribution of square-free numbers, Science in China (Ser.A).36(1993), 154-169
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.844360Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c28211d5-bc95-4762-a1e9-dd45123708a5 · outbound
This paper cites Karras, L.
On the Hyperbolic Fractional Sum of the Divisor Function Karras, L
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.818036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5dfd4e8b-3968-432b-b091-9643a82b32b4 · outbound
This paper cites Kolesnik,On the method of exponent pairs, Acta.
On the Hyperbolic Fractional Sum of the Divisor Function Kolesnik,On the method of exponent pairs, Acta
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.821862Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a945757e-f514-42ad-9cb7-af31c8503b31 · outbound
This paper cites an unresolved cited work.
On the Hyperbolic Fractional Sum of the Divisor Function Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T12:47:59.825355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 40201227-7201-44bc-b319-d934fcc7c03a · outbound
This paper cites an unresolved cited work.
On the Hyperbolic Fractional Sum of the Divisor Function Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T12:47:59.829062Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 76d04c4f-b146-4151-8e76-bf166858bd74 · outbound
This paper cites an unresolved cited work.
On the Hyperbolic Fractional Sum of the Divisor Function Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T12:47:59.796078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bcf5e7de-665f-4334-ad8f-87b9005eae06 · outbound
This paper cites an unresolved cited work.
On the Hyperbolic Fractional Sum of the Divisor Function Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T12:47:59.910616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b7f54250-3a12-473c-bf7d-7e85361f88b0 · outbound
This paper cites an unresolved cited work.
On the Hyperbolic Fractional Sum of the Divisor Function Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T12:47:59.901367Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 029b5063-ad1d-47e1-a0df-0f1f4002d732 · outbound
This paper cites an unresolved cited work.
On the Hyperbolic Fractional Sum of the Divisor Function Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T12:47:59.904674Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 38968bbf-47dd-4474-aaf2-58a1131a21c8 · outbound
This paper cites an unresolved cited work.
On the Hyperbolic Fractional Sum of the Divisor Function Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T12:47:59.915134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 047b266a-cd47-4a59-91fd-17725e89391c · outbound
This paper cites an unresolved cited work.
On the Hyperbolic Fractional Sum of the Divisor Function Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T12:47:59.763350Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 460d73a8-b5b8-44ed-b68f-edbf31afe48a · outbound
This paper cites Robert, P.
On the Hyperbolic Fractional Sum of the Divisor Function Robert, P
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.811123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b1faffb1-5fad-46fc-aa7f-37df67619fec · outbound
This paper cites Sargos, J.
On the Hyperbolic Fractional Sum of the Divisor Function Sargos, J
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.759751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1fd3ae9c-143a-40aa-b922-90f9505d6ade · outbound
This paper cites Stucky,The fractional sum of small arithmetic functions, J.
On the Hyperbolic Fractional Sum of the Divisor Function Stucky,The fractional sum of small arithmetic functions, J
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.783343Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 93659b3f-95c7-465f-aa36-fe1531516187 · outbound
This paper cites Vandehey,Error term improvements for van der Corput transforms, Qurt.
On the Hyperbolic Fractional Sum of the Divisor Function Vandehey,Error term improvements for van der Corput transforms, Qurt
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.787671Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 582ab84c-c165-4bd1-92a4-bf7af11ac51b · outbound
This paper cites Vorono¨ ı,Sur une fonction transcendante et ses applications ` a la sommation de quelques s´ eries, Ann.
On the Hyperbolic Fractional Sum of the Divisor Function Vorono¨ ı,Sur une fonction transcendante et ses applications ` a la sommation de quelques s´ eries, Ann
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.791870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 69badbd0-a37a-4a6e-b1d3-a31b2a99f3c6 · outbound
This paper cites Wu,On a sum involving the Euler totient function, Indag.
On the Hyperbolic Fractional Sum of the Divisor Function Wu,On a sum involving the Euler totient function, Indag
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.804624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ca4ffd94-b8fb-4828-ad42-478d9c06e430 · outbound
This paper cites Wu,Note on a paper by Bordell´ es, Dai, Heyman, Pan, Shparlinski, Period.
On the Hyperbolic Fractional Sum of the Divisor Function Wu,Note on a paper by Bordell´ es, Dai, Heyman, Pan, Shparlinski, Period
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.833166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 97598b16-8c40-4a93-b73a-332e0b38e4e9 · outbound
This paper cites Zhang,On fractional sums of the divisor functions, Int.
On the Hyperbolic Fractional Sum of the Divisor Function Zhang,On fractional sums of the divisor functions, Int
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.872531Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a81d4a9d-403e-4ecc-8d25-2d9bb0320c6e · outbound
This paper cites Zhang,On a variant of the prime number theorem, J.
On the Hyperbolic Fractional Sum of the Divisor Function Zhang,On a variant of the prime number theorem, J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.894914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7d741512-2fc8-4a5b-8ed5-d892faf94f41 · outbound
This paper cites Zhai,On a sum involving the Euler function, J.
On the Hyperbolic Fractional Sum of the Divisor Function Zhai,On a sum involving the Euler function, J
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.775604Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 420ab850-4eb9-47e6-9366-b0cd50506994 · outbound
This paper cites Zhai,On a sum involving small arithmetic functions, Int.
On the Hyperbolic Fractional Sum of the Divisor Function Zhai,On a sum involving small arithmetic functions, Int
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.767531Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation db608ada-6a4b-4666-a36d-51e123475831 · outbound
This paper cites Zhai,On some sums involving small arithmetic functions, Acta Math.
On the Hyperbolic Fractional Sum of the Divisor Function Zhai,On some sums involving small arithmetic functions, Acta Math
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-23T12:47:59.771602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 22ed727d-1d0d-4a59-b207-7fac29659d8a · outbound
This paper cites an unresolved cited work.
On the Hyperbolic Fractional Sum of the Divisor Function Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-05-23T12:47:59.755536Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.