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Paper Citation Record · LEDGER

On the exponents of distribution of primes and smooth numbers

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.

pith.paper-citation-record.v1
2505.00653 v2

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:43:28.732640Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:29:17.916633Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-20T01:27:55.306718Z

Reference resolution

48 of 48 outbound references displayed

  • verified exact1
  • verified fuzzy38
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f552b56-6568-46ac-b6cf-ca1688b7193a · outbound

This paper cites Uniform Titchmarsh divisor problems.Adv.

On the exponents of distribution of primes and smooth numbers Uniform Titchmarsh divisor problems.Adv

Reference 1

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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.

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Observation 2a4c06de-24a8-4607-9e95-033705e5a6c8 · outbound

This paper cites The mean square of the product of the Riemann zeta-function with Dirichlet polynomials.J.

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

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raw_fallback, observed 2026-08-16T04:43:32.497627Z

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source=pdf_text observed=2026-08-16T04:43:27.486389Z digest=sha256:7ee13dc8614593f37f08a68f57a5f116aac3df4cf996566c55d561adcab9c431

Observation 6b029b78-5090-434d-856b-d478eaec3a3e · outbound

This paper cites On the large sieve.Mathematika, 12:201–225, 1965.

On the exponents of distribution of primes and smooth numbers On the large sieve.Mathematika, 12:201–225, 1965

Reference 3

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Observation 3b9eebbc-744e-4a6a-b942-d9782b55a6e4 · outbound

This paper cites Friedlander, and Henryk Iwaniec.

On the exponents of distribution of primes and smooth numbers Friedlander, and Henryk Iwaniec

Reference 4

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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.

source=pdf_text observed=2026-08-16T04:43:27.666385Z digest=sha256:ffa8bc2504e73bb77d726eaa155369890e07ccec2b77576ca0af24a05fd816fc

Observation 524a40a0-aebd-443c-ad6e-e83c51365ca4 · outbound

This paper cites Friedlander, and Henryk Iwaniec.

On the exponents of distribution of primes and smooth numbers Friedlander, and Henryk Iwaniec

Reference 5

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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.

source=pdf_text observed=2026-08-16T04:43:27.671310Z digest=sha256:3826eaf03e24f441a9c686af9f92122663a9b17840176a8e88294db6427ff78e

Observation a9565c1e-5a3f-4cbf-bad6-8b66415fd3bd · outbound

This paper cites Friedlander, and Henryk Iwaniec.

On the exponents of distribution of primes and smooth numbers Friedlander, and Henryk Iwaniec

Reference 6

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:27.676288Z digest=sha256:c3919b7884cbeae6b168069360a53007830739fd7bbc3d0d9ef2328090b23c10

Observation 22865825-b8b2-4fdc-9450-80de5125a6d2 · outbound

This paper cites Niveau de répartition des polynômes quadratiques et crible majorant pour les entiers friables.J.

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

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source=pdf_text observed=2026-08-16T04:43:27.682338Z digest=sha256:90cd25b1a8d45d004e5cf872bdd9307fb60978e1036bb4976990c2c7965cfbba

Observation 6a98c66a-8086-44fb-85ba-8c0dbb348b84 · outbound

This paper cites Deshouillers and H.

On the exponents of distribution of primes and smooth numbers Deshouillers and H

Reference 8

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source=pdf_text observed=2026-08-16T04:43:27.686958Z digest=sha256:340d37c5b00717c0126022ff33a57c52e48794928651d1a80f0f060eeb61b80e

Observation da2df1db-8cf0-487f-8c66-fd35d48b4e1b · outbound

This paper cites Deshouillers and H.

On the exponents of distribution of primes and smooth numbers Deshouillers and H

Reference 9

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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.

source=pdf_text observed=2026-08-16T04:43:27.691630Z digest=sha256:9d397184565f48c3ea70b59bd1c12883b6124c14cabac6a857b4fbf0ea0a2f7a

Observation 2e0779a6-4c2c-4e73-86af-6ac9625f58f2 · outbound

This paper cites Kloosterman sums and Fourier coefficients of cusp forms.Invent.

On the exponents of distribution of primes and smooth numbers Kloosterman sums and Fourier coefficients of cusp forms.Invent

Reference 10

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source=pdf_text observed=2026-08-16T04:43:27.696337Z digest=sha256:8df31182a0c4bf2854045e43e4c327408f5559d12eb26dccc85d84daaea868bc

Observation 8ad3b138-e176-4811-8876-75bcad2dcf8f · outbound

This paper cites Théorèmes de type Fouvry-Iwaniec pour les entiers friables.Compos.

On the exponents of distribution of primes and smooth numbers Théorèmes de type Fouvry-Iwaniec pour les entiers friables.Compos

Reference 11

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:27.764851Z digest=sha256:a7e7e689b26ee15c192bb6d80307e12816b63ec5537dddf51fe0ce05970243fe

Observation bdcb00e5-f069-4158-a43c-80ec41d25a45 · outbound

This paper cites Smooth-supported multiplicative functions in arith- metic progressions beyond thex1/2-barrier.

On the exponents of distribution of primes and smooth numbers Smooth-supported multiplicative functions in arith- metic progressions beyond thex1/2-barrier

Reference 12

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:27.852381Z digest=sha256:7cad6ddab190999b5935c2035fa4ce95b6133d97c522b1759632738ae5e86079

Observation 451f61d8-ebe9-4efb-85dc-333200174722 · outbound

This paper cites Elliott and Heini Halberstam.

On the exponents of distribution of primes and smooth numbers Elliott and Heini Halberstam

Reference 13

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:27.890317Z digest=sha256:ab1c5104e0123e2db9efd7b0bcef0dd6c03482c4c82a448ca0750b25260467d5

Observation 4f367135-c378-47fd-a5f6-0efadb300806 · outbound

This paper cites Répartition des suites dans les progressions arithmétiques.Acta Arith., 41(4):359–382, 1982.

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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:27.894743Z digest=sha256:46e3394a36a6f87d7512e7959014b42f1e924db6c898b7c1f5e2b64f40135b34

Observation b0dc0afc-cf1d-43ac-a253-99bb806d0f13 · outbound

This paper cites Autour du théorème de Bombieri-Vinogradov.Acta Math., 152(3-4):219–244, 1984.

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

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source=pdf_text observed=2026-08-16T04:43:27.898794Z digest=sha256:afd16a3efa41ff162cfc9e943ba4cef3bd836a1edbde0ff61635029a9e438b0e

Observation c80e51b6-1f39-4a8c-848d-c40bd09f9de9 · outbound

This paper cites Sur le problème des diviseurs de Titchmarsh.J.

On the exponents of distribution of primes and smooth numbers Sur le problème des diviseurs de Titchmarsh.J

Reference 16

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source=pdf_text observed=2026-08-16T04:43:27.902343Z digest=sha256:e913d4de39b3d8571259dbbd5506eccc9d2bf72f312f7d991ba67371d993438c

Observation 0a08fc93-c9c0-4043-a24c-d06ca604b154 · outbound

This paper cites Autour du théorème de Bombieri-Vinogradov.

On the exponents of distribution of primes and smooth numbers Autour du théorème de Bombieri-Vinogradov

Reference 17

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:27.907764Z digest=sha256:dbbd76d202e4200164b3488bcd1e78375bca4522f26d9cabff99591030321de8

Observation e232bf95-3d41-4c3f-acf2-f0c81787f3b6 · outbound

This paper cites On a theorem of Bombieri-Vinogradov type.Mathematika, 27(2):135–152, 1980.

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

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source=pdf_text observed=2026-08-16T04:43:27.911986Z digest=sha256:d3797a68600be6b9e71d1944a16e2588d09e5d4d40eb672be57e6efc6fc6c35f

Observation 436e0081-cbe2-467c-97aa-3809c955b9c5 · outbound

This paper cites Primes in arithmetic progressions.Acta Arith., 42(2):197–218, 1983.

On the exponents of distribution of primes and smooth numbers Primes in arithmetic progressions.Acta Arith., 42(2):197–218, 1983

Reference 19

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source=pdf_text observed=2026-08-16T04:43:27.951214Z digest=sha256:e1b45b996afb97d573f3d68086b2dc367e60a98d4ed15feb09d06e06979f9da1

Observation df7d6269-4ecb-46e2-8697-5d692138408e · outbound

This paper cites Entiers sans grand facteur premier en progressions arithmetiques.Proc.

On the exponents of distribution of primes and smooth numbers Entiers sans grand facteur premier en progressions arithmetiques.Proc

Reference 20

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Observation 162efaef-b636-49b1-b2c1-47087946c5b1 · outbound

This paper cites Répartition statistique des entiers sans grand facteur premier dans les progressions arithmétiques.

On the exponents of distribution of primes and smooth numbers Répartition statistique des entiers sans grand facteur premier dans les progressions arithmétiques

Reference 21

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Observation 0a0e6039-60b4-4126-b910-47655a957037 · outbound

This paper cites American Mathematical Society, Providence, RI, 2010.

On the exponents of distribution of primes and smooth numbers American Mathematical Society, Providence, RI, 2010

Reference 22

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source=pdf_text observed=2026-08-16T04:43:28.032253Z digest=sha256:953db9a614846753f901dc2025b09d1baac02cb292dd4a33ca1a673969957381

Observation 0c9d0108-7441-4be1-8f35-b51b193f26f4 · outbound

This paper cites Integers, without large prime factors, in arithmetic progressions.

On the exponents of distribution of primes and smooth numbers Integers, without large prime factors, in arithmetic progressions

Reference 23

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source=pdf_text observed=2026-08-16T04:43:28.036763Z digest=sha256:0c7c22f3e0bb38b4f0d89e140ab908416c27b42a3efd0091b5419d43e892a46f

Observation c4faa4a6-c620-4fef-83ae-7a23eb20c70c · outbound

This paper cites Integers, without large prime factors, in arithmetic progressions.

On the exponents of distribution of primes and smooth numbers Integers, without large prime factors, in arithmetic progressions

Reference 24

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source=pdf_text observed=2026-08-16T04:43:28.041800Z digest=sha256:8a7bc3dd4276109ed7c7d1a61622565e093d3d8feb25ea0e595c2043d3c96e12

Observation 758d49e9-9a57-4d4d-830d-8cae991a2a62 · outbound

This paper cites an unresolved cited work.

On the exponents of distribution of primes and smooth numbers Unresolved cited work

Reference 25

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:43:28.060308Z digest=sha256:c057de80459ab4fd3100f197a7d16a2a0755d5e144fcf003c36bbf51e237d118

Observation 926b49e1-564e-458f-8147-678407fe4f52 · outbound

This paper cites Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for smooth numbers.

On the exponents of distribution of primes and smooth numbers Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for smooth numbers

Reference 26

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source=pdf_text observed=2026-08-16T04:43:28.207569Z digest=sha256:8c5bf97af9da350fcb7f3fe7a866ba699a121207b839258772ca0d2b8a5ca643

Observation c57d33f7-6d2d-447e-8275-be6cf64da544 · outbound

This paper cites On the number of positive integers≤ x and free of prime factors> y.

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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:28.270512Z digest=sha256:c6e94e63a119fbdfd53f7597bcbe6a3102fd91e87d870f7b52613a4443350701

Observation 556d12de-5512-4df3-a306-c401481ec7e1 · outbound

This paper cites A new form of the error term in the linear sieve.Acta Arith., 37:307–320, 1980.

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

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source=pdf_text observed=2026-08-16T04:43:28.275817Z digest=sha256:132302e8bfc7b33218088a31936910692a93c4ef78cbe2bbc499351b5c47fbcb

Observation b2f30a14-6664-4168-8900-2de035b5f94e · outbound

This paper cites American Mathematical Society, Providence, RI, 2021.

On the exponents of distribution of primes and smooth numbers American Mathematical Society, Providence, RI, 2021

Reference 29

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Observation 8934cb1c-654d-4b46-9101-ba40eeaf7c0c · outbound

This paper cites an unresolved cited work.

On the exponents of distribution of primes and smooth numbers Unresolved cited work

Reference 30

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source=pdf_text observed=2026-08-16T04:43:28.284453Z digest=sha256:7bbeee889da0d6ad5f550dd6666a12d4c92501d4dcdfe5c34142e28adb72b3ac

Observation adb24e65-11c8-42f3-bb1f-3e1503f045e1 · outbound

This paper cites Kuznetsov.

On the exponents of distribution of primes and smooth numbers Kuznetsov

Reference 31

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:28.290255Z digest=sha256:29c70abc13c74c5526ef3257ac0d1f9ac0a9a6ea4365a9281f38772e0f2ce878

Observation 33228bae-91a7-432e-94ac-9a1116ccbb86 · outbound

This paper cites Primes in arithmetic progressions to large moduli, and Goldbach beyond the square-root barrier.

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

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no resolver link, observed 2026-08-16T04:43:28.294261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:43:28.294261Z digest=sha256:a8a7720fa73b5ce923da3ce3d49d7c9c1cca790307429c39a040f0737860f63a

Observation fb518133-155f-46c1-9e38-8bf798f7e62b · outbound

This paper cites A modification of the linear sieve, and the count of twin primes.Algebra Number Theory, 19(1):1–38, 2025.

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

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:28.324842Z digest=sha256:afebec4462efa8102924bf8dc73db6289ebd5629c325a8e83b5bb376975e2b29

Observation 6c73edfc-48d6-4df8-bb7e-2ffea5ec12b2 · outbound

This paper cites an unresolved cited work.

On the exponents of distribution of primes and smooth numbers Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-16T04:43:28.376808Z digest=sha256:2f3b6cb4af9f6ee8ee4be0a0bdfab199f0686aa5542d6b2218ea19557f8e954f

Observation b79c343c-9dec-4e97-a658-33073c2c8677 · outbound

This paper cites Small gaps between primes.Ann.

On the exponents of distribution of primes and smooth numbers Small gaps between primes.Ann

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:43:30.275561Z

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.

source=pdf_text observed=2026-08-16T04:43:28.434958Z digest=sha256:5648162e4b025c75ec3a0cc569ee4ee4c59efa3009f3597a35015fd14c42a791

Observation d394d6db-3b0b-42ce-8545-26d05f519478 · outbound

This paper cites Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes.Mem.

On the exponents of distribution of primes and smooth numbers Primes in Arithmetic Progressions to Large Moduli I: Fixed Residue Classes.Mem

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:43:30.211350Z

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.

source=pdf_text observed=2026-08-16T04:43:28.452991Z digest=sha256:54a4ac87648db4249c78d2644fedba9589df1d1bcad405ec45dce5e6ae199aeb

Observation 40cfb6a8-2519-4ebd-a122-67e350fcbf39 · outbound

This paper cites Primes in Arithmetic Progressions to Large Moduli II: Well-Factorable Estimates.Mem.

On the exponents of distribution of primes and smooth numbers Primes in Arithmetic Progressions to Large Moduli II: Well-Factorable Estimates.Mem

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:43:30.088597Z

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.

source=pdf_text observed=2026-08-16T04:43:28.457793Z digest=sha256:010440b3c5124dedb0dbd504f736570bb5b051c49c67f328ca36d43b4f48c339

Observation f624359f-c81f-4854-bfbd-79ee560b36c3 · outbound

This paper cites Primes in Arithmetic Progressions to Large Moduli III: Uniform Residue Classes.Mem.

On the exponents of distribution of primes and smooth numbers Primes in Arithmetic Progressions to Large Moduli III: Uniform Residue Classes.Mem

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:43:30.075953Z

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.

source=pdf_text observed=2026-08-16T04:43:28.463371Z digest=sha256:38631e174453565e3430d4e8b74f38b94153bba2d8d496c42d8e49c2aae3c4c8

Observation 09d865ed-0b84-4cc1-b7a8-cd9a48841c10 · outbound

This paper cites Smooth numbers in arithmetic progressions to large moduli.

On the exponents of distribution of primes and smooth numbers Smooth numbers in arithmetic progressions to large moduli

Reference 39

Resolution
verified exact
raw_fallback, observed 2026-08-16T04:43:29.087029Z

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.

source=pdf_text observed=2026-08-16T04:43:28.469433Z digest=sha256:e1faf760b0e98ec79ec7eb2d55a4c328b5d9eb293ae7246d0fdb5b95b53840a8

Observation aca826ef-7a90-4244-a0fc-b04861ad6148 · outbound

This paper cites Large sieve inequalities for exceptional maass forms and the greatest prime factor ofn2 + 1.

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

Resolution
unresolved
no resolver link, observed 2026-08-16T04:43:28.473623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:43:28.473623Z digest=sha256:b4ae22eb1d5849c8a83f023c369830b8d8427c1c28c0abea1efdecfc1ad2117a

Observation ee9213ae-0712-4cb5-848d-3ea0395cc133 · outbound

This paper cites an unresolved cited work.

On the exponents of distribution of primes and smooth numbers Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:43:29.925651Z

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.

source=pdf_text observed=2026-08-16T04:43:28.478146Z digest=sha256:878c8568baad917a362afff55fab33f206895bc2ea15a244fffe91d773a5aa74

Observation f39bff63-ce09-4d61-a81b-c8ba07ee7c84 · outbound

This paper cites On the estimation of Fourier coefficients of modular forms.

On the exponents of distribution of primes and smooth numbers On the estimation of Fourier coefficients of modular forms

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:43:29.835912Z

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.

source=pdf_text observed=2026-08-16T04:43:28.482226Z digest=sha256:2060c564c729ff3b4594c344a4091410d045cd9e25795a372013c48190218f17

Observation 636e9d0c-a382-47c5-8224-54d885142b8e · outbound

This paper cites On primes in arithmetic progressions and bounded gaps between many primes.Adv.

On the exponents of distribution of primes and smooth numbers On primes in arithmetic progressions and bounded gaps between many primes.Adv

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:43:29.772663Z

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.

source=pdf_text observed=2026-08-16T04:43:28.486396Z digest=sha256:3573248d26a24ded931e350156a2c23aed3fb7bf8573dece112ca2269b1abf77

Observation 4c5e1b04-e67d-4db7-8f37-e13d94f69a2e · outbound

This paper cites an unresolved cited work.

On the exponents of distribution of primes and smooth numbers Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:43:29.642196Z

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.

source=pdf_text observed=2026-08-16T04:43:28.491421Z digest=sha256:cd9d819a8f8f74ea406ac96ccabd1460e30fb560eb17e4dbf3d1c1d2161db62c

Observation 90982f12-d56b-4c5d-a6df-cd5e93b092d4 · outbound

This paper cites an unresolved cited work.

On the exponents of distribution of primes and smooth numbers Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-16T04:43:29.521876Z

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.

source=pdf_text observed=2026-08-16T04:43:28.496206Z digest=sha256:798ad4794370c7f9a82da5e9e43cc420ce771129ec36919cd851e883a1a45cf8

Observation 19f03099-260a-4ee3-b18a-c601e1aba3bf · outbound

This paper cites über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen.

On the exponents of distribution of primes and smooth numbers über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:43:29.352005Z

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.

source=pdf_text observed=2026-08-16T04:43:28.547634Z digest=sha256:9d2afd584bdf82d8106fbcea575f8c79c7898ab510db1a625345a35fa8331735

Observation f640a809-80bf-4bc4-b3ad-82e69d87bd8e · outbound

This paper cites über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen.

On the exponents of distribution of primes and smooth numbers über die mittlere Verteilung der Werte zahlentheoretischer Funktionen auf Restklassen

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:43:29.259640Z

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.

source=pdf_text observed=2026-08-16T04:43:28.642908Z digest=sha256:73babb9bb88d0b3d27cd436574f30ebaee2d0aed54c556a1c63b5cbb381616e2

Observation 81c8a0f5-3707-470d-91f8-3e103ccfd037 · outbound

This paper cites Bounded gaps between primes.Ann.

On the exponents of distribution of primes and smooth numbers Bounded gaps between primes.Ann

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T04:43:29.127226Z

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.

source=pdf_text observed=2026-08-16T04:43:28.732640Z digest=sha256:aa199bc72d8efe60110050d7c8332f2ecedfbab6e73337fc4b051df86ff0562e

Pith citing papers

Observation 0b60693a-7d76-406b-850d-63979494897d · inbound

An effective Bombieri-Vinogradov error term for sifting problems cites this paper.

An effective Bombieri-Vinogradov error term for sifting problems On the exponents of distribution of primes and smooth numbers

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-18T07:21:04.972140Z

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.

source=pdf_text observed=2026-05-18T07:18:15.618726Z digest=sha256:86c2cf9a0cfe6309c8046f09e05c5da5152307b4d85c773dfee7c41644eeeb77

Observation 5a4da91e-bbc0-4940-80f3-a29d601225bd · inbound

Non-abelian amplification and bilinear forms with Kloosterman sums cites this paper.

Non-abelian amplification and bilinear forms with Kloosterman sums On the exponents of distribution of primes and smooth numbers

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-03T22:58:07.659576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T22:58:07.659576Z digest=sha256:34b5be0bebb3af99e19451343a48300d10154f73f45dbccea91bf420ebc21a15

Observation b8bc0c88-7a02-4ab2-ba1b-376e8c794ed1 · inbound

Primes in arithmetic progressions to large moduli and refinements of Harman's sieve cites this paper.

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

Resolution
verified exact
arxiv_id, observed 2026-05-15T20:00:16.919209Z

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.

source=pdf_text observed=2026-05-15T19:59:43.622589Z digest=sha256:9c27383dff890247cdb9afc56d2d5e16a9f0ec4a4705afcedfba8c1a1706d6f1

Observation 51683b40-5b59-4109-acb6-a7d2cf23e0b3 · inbound

Primes in arithmetic progressions to large moduli and refinements of Harman's sieve cites this paper.

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

Resolution
unresolved
no resolver link, observed 2026-08-02T21:20:03.703327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T21:20:03.703327Z digest=sha256:b1bdabc260081bb45998382ecf7866b42d1a37831819283601a0f64d81722d0a

Observation fc73ff80-14ca-4655-8cc5-3df9fd4b9cc9 · inbound

An update on the Linnik--Goldbach problem cites this paper.

An update on the Linnik--Goldbach problem On the exponents of distribution of primes and smooth numbers

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-20T01:27:55.310939Z

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.

source=pdf_text observed=2026-05-20T01:24:20.558113Z digest=sha256:c275564bbd6573636db923f182cf1dbf1aff366f1511bf634b153dcea028e67e

Observation 9f841c37-ac30-474b-992f-0b60b01503cf · inbound

An update on the Linnik--Goldbach problem cites this paper.

An update on the Linnik--Goldbach problem On the exponents of distribution of primes and smooth numbers

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-02T13:50:43.164813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T13:50:43.164813Z digest=sha256:9854259d2c6d0d56434a59838165c9f70d47c76a70ced60e26bbbe0841c22574

Observation 3ee9e021-5c6e-4b5f-b95a-e262b87a93e0 · inbound

An improvement on the largest prime factors of consecutive integers cites this paper.

An improvement on the largest prime factors of consecutive integers On the exponents of distribution of primes and smooth numbers

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-01T21:36:42.216213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T21:36:42.216213Z digest=sha256:3ec152bc55b180d970cff437354a77548c4d450e6f17276ac9b5d04f713e6d7d

Observation 99f194ec-e3d0-4b3f-9d2e-01b2077ca814 · inbound

Bilinear forms with Kloosterman sums via quadratic characters cites this paper.

Bilinear forms with Kloosterman sums via quadratic characters On the exponents of distribution of primes and smooth numbers

Reference 30

Resolution
unresolved
no resolver link, observed 2026-07-31T18:49:55.901552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T18:49:55.901552Z digest=sha256:29d9e357f05a2ee2584e9b8043768c0a83f6d77b192ab361a22bd74c8ea91f7a

Observation ab981620-e90a-4e3b-907b-990559ff26b2 · inbound

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications cites this paper.

Convolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applications On the exponents of distribution of primes and smooth numbers

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T14:29:17.916633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:29:17.916633Z digest=sha256:07892dac14fce96263dcbee2062701e752c31a938c48d9aa10c47be009ef19d5