Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:43:28.732640Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 9 inbound Pith citation observations for arXiv:2505.00653.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:43:28.732640Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:29:17.916633Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-20T01:27:55.306718Z
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 2f552b56-6568-46ac-b6cf-ca1688b7193a · outbound
On the exponents of distribution of primes and smooth numbers Uniform Titchmarsh divisor problems.Adv
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2a4c06de-24a8-4607-9e95-033705e5a6c8 · outbound
On the exponents of distribution of primes and smooth numbers The mean square of the product of the Riemann zeta-function with Dirichlet polynomials.J
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6b029b78-5090-434d-856b-d478eaec3a3e · outbound
On the exponents of distribution of primes and smooth numbers On the large sieve.Mathematika, 12:201–225, 1965
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3b9eebbc-744e-4a6a-b942-d9782b55a6e4 · outbound
On the exponents of distribution of primes and smooth numbers Friedlander, and Henryk Iwaniec
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 524a40a0-aebd-443c-ad6e-e83c51365ca4 · outbound
On the exponents of distribution of primes and smooth numbers Friedlander, and Henryk Iwaniec
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a9565c1e-5a3f-4cbf-bad6-8b66415fd3bd · outbound
On the exponents of distribution of primes and smooth numbers Friedlander, and Henryk Iwaniec
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 22865825-b8b2-4fdc-9450-80de5125a6d2 · outbound
On the exponents of distribution of primes and smooth numbers Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables.J
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6a98c66a-8086-44fb-85ba-8c0dbb348b84 · outbound
On the exponents of distribution of primes and smooth numbers Deshouillers and H
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation da2df1db-8cf0-487f-8c66-fd35d48b4e1b · outbound
On the exponents of distribution of primes and smooth numbers Deshouillers and H
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2e0779a6-4c2c-4e73-86af-6ac9625f58f2 · outbound
On the exponents of distribution of primes and smooth numbers Kloosterman sums and Fourier coefficients of cusp forms.Invent
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8ad3b138-e176-4811-8876-75bcad2dcf8f · outbound
On the exponents of distribution of primes and smooth numbers Théorèmes de type Fouvry-Iwaniec pour les entiers friables.Compos
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bdcb00e5-f069-4158-a43c-80ec41d25a45 · outbound
On the exponents of distribution of primes and smooth numbers Smooth-supported multiplicative functions in arith- metic progressions beyond thex1/2-barrier
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 451f61d8-ebe9-4efb-85dc-333200174722 · outbound
On the exponents of distribution of primes and smooth numbers Elliott and Heini Halberstam
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4f367135-c378-47fd-a5f6-0efadb300806 · outbound
On the exponents of distribution of primes and smooth numbers Répartition des suites dans les progressions arithmétiques.Acta Arith., 41(4):359–382, 1982
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b0dc0afc-cf1d-43ac-a253-99bb806d0f13 · outbound
On the exponents of distribution of primes and smooth numbers Autour du théorème de Bombieri-Vinogradov.Acta Math., 152(3-4):219–244, 1984
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c80e51b6-1f39-4a8c-848d-c40bd09f9de9 · outbound
On the exponents of distribution of primes and smooth numbers Sur le problème des diviseurs de Titchmarsh.J
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0a08fc93-c9c0-4043-a24c-d06ca604b154 · outbound
On the exponents of distribution of primes and smooth numbers Autour du théorème de Bombieri-Vinogradov
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e232bf95-3d41-4c3f-acf2-f0c81787f3b6 · outbound
On the exponents of distribution of primes and smooth numbers On a theorem of Bombieri-Vinogradov type.Mathematika, 27(2):135–152, 1980
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 436e0081-cbe2-467c-97aa-3809c955b9c5 · outbound
On the exponents of distribution of primes and smooth numbers Primes in arithmetic progressions.Acta Arith., 42(2):197–218, 1983
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation df7d6269-4ecb-46e2-8697-5d692138408e · outbound
On the exponents of distribution of primes and smooth numbers Entiers sans grand facteur premier en progressions arithmetiques.Proc
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 162efaef-b636-49b1-b2c1-47087946c5b1 · outbound
On the exponents of distribution of primes and smooth numbers Répartition statistique des entiers sans grand facteur premier dans les progressions arithmétiques
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0a0e6039-60b4-4126-b910-47655a957037 · outbound
On the exponents of distribution of primes and smooth numbers American Mathematical Society, Providence, RI, 2010
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0c9d0108-7441-4be1-8f35-b51b193f26f4 · outbound
On the exponents of distribution of primes and smooth numbers Integers, without large prime factors, in arithmetic progressions
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c4faa4a6-c620-4fef-83ae-7a23eb20c70c · outbound
On the exponents of distribution of primes and smooth numbers Integers, without large prime factors, in arithmetic progressions
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 758d49e9-9a57-4d4d-830d-8cae991a2a62 · outbound
On the exponents of distribution of primes and smooth numbers Unresolved cited work
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 926b49e1-564e-458f-8147-678407fe4f52 · outbound
On the exponents of distribution of primes and smooth numbers Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for smooth numbers
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c57d33f7-6d2d-447e-8275-be6cf64da544 · outbound
On the exponents of distribution of primes and smooth numbers On the number of positive integers≤ x and free of prime factors> y
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 556d12de-5512-4df3-a306-c401481ec7e1 · outbound
On the exponents of distribution of primes and smooth numbers A new form of the error term in the linear sieve.Acta Arith., 37:307–320, 1980
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b2f30a14-6664-4168-8900-2de035b5f94e · outbound
On the exponents of distribution of primes and smooth numbers American Mathematical Society, Providence, RI, 2021
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8934cb1c-654d-4b46-9101-ba40eeaf7c0c · outbound
On the exponents of distribution of primes and smooth numbers Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation adb24e65-11c8-42f3-bb1f-3e1503f045e1 · outbound
On the exponents of distribution of primes and smooth numbers Kuznetsov
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 33228bae-91a7-432e-94ac-9a1116ccbb86 · outbound
On the exponents of distribution of primes and smooth numbers Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb518133-155f-46c1-9e38-8bf798f7e62b · outbound
On the exponents of distribution of primes and smooth numbers A modification of the linear sieve, and the count of twin primes.Algebra Number Theory, 19(1):1–38, 2025
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6c73edfc-48d6-4df8-bb7e-2ffea5ec12b2 · outbound
On the exponents of distribution of primes and smooth numbers Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b79c343c-9dec-4e97-a658-33073c2c8677 · outbound
On the exponents of distribution of primes and smooth numbers Small gaps between primes.Ann
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d394d6db-3b0b-42ce-8545-26d05f519478 · outbound
On the exponents of distribution of primes and smooth numbers Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes.Mem
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 40cfb6a8-2519-4ebd-a122-67e350fcbf39 · outbound
On the exponents of distribution of primes and smooth numbers Primes in Arithmetic Progressions to Large Moduli II: Well-Factorable Estimates.Mem
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f624359f-c81f-4854-bfbd-79ee560b36c3 · outbound
On the exponents of distribution of primes and smooth numbers Primes in Arithmetic Progressions to Large Moduli III: Uniform Residue Classes.Mem
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 09d865ed-0b84-4cc1-b7a8-cd9a48841c10 · outbound
On the exponents of distribution of primes and smooth numbers Smooth numbers in arithmetic progressions to large moduli
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aca826ef-7a90-4244-a0fc-b04861ad6148 · outbound
On the exponents of distribution of primes and smooth numbers Large sieve inequalities for exceptional maass forms and the greatest prime factor ofn2 + 1
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee9213ae-0712-4cb5-848d-3ea0395cc133 · outbound
On the exponents of distribution of primes and smooth numbers Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f39bff63-ce09-4d61-a81b-c8ba07ee7c84 · outbound
On the exponents of distribution of primes and smooth numbers On the estimation of Fourier coefficients of modular forms
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 636e9d0c-a382-47c5-8224-54d885142b8e · outbound
On the exponents of distribution of primes and smooth numbers On primes in arithmetic progressions and bounded gaps between many primes.Adv
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4c5e1b04-e67d-4db7-8f37-e13d94f69a2e · outbound
On the exponents of distribution of primes and smooth numbers Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 90982f12-d56b-4c5d-a6df-cd5e93b092d4 · outbound
On the exponents of distribution of primes and smooth numbers Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 19f03099-260a-4ee3-b18a-c601e1aba3bf · outbound
On the exponents of distribution of primes and smooth numbers über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f640a809-80bf-4bc4-b3ad-82e69d87bd8e · outbound
On the exponents of distribution of primes and smooth numbers über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 81c8a0f5-3707-470d-91f8-3e103ccfd037 · outbound
On the exponents of distribution of primes and smooth numbers Bounded gaps between primes.Ann
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0b60693a-7d76-406b-850d-63979494897d · inbound
An effective Bombieri-Vinogradov error term for sifting problems On the exponents of distribution of primes and smooth numbers
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5a4da91e-bbc0-4940-80f3-a29d601225bd · inbound
Non-abelian amplification and bilinear forms with Kloosterman sums On the exponents of distribution of primes and smooth numbers
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8bc0c88-7a02-4ab2-ba1b-376e8c794ed1 · inbound
Primes in arithmetic progressions to large moduli and refinements of Harman's sieve On the exponents of distribution of primes and smooth numbers
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 51683b40-5b59-4109-acb6-a7d2cf23e0b3 · inbound
Primes in arithmetic progressions to large moduli and refinements of Harman's sieve On the exponents of distribution of primes and smooth numbers
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc73ff80-14ca-4655-8cc5-3df9fd4b9cc9 · inbound
An update on the Linnik--Goldbach problem On the exponents of distribution of primes and smooth numbers
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9f841c37-ac30-474b-992f-0b60b01503cf · inbound
An update on the Linnik--Goldbach problem On the exponents of distribution of primes and smooth numbers
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ee9e021-5c6e-4b5f-b95a-e262b87a93e0 · inbound
An improvement on the largest prime factors of consecutive integers On the exponents of distribution of primes and smooth numbers
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 99f194ec-e3d0-4b3f-9d2e-01b2077ca814 · inbound
Bilinear forms with Kloosterman sums via quadratic characters On the exponents of distribution of primes and smooth numbers
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab981620-e90a-4e3b-907b-990559ff26b2 · inbound
Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications On the exponents of distribution of primes and smooth numbers
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.