Pith. sign in

Paper Citation Record · LEDGER

Pointwise convergence of polynomial multiple ergodic averages along the primes

As of 19 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2505.15549.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.15549 v2

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:22:14.048302Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:36:56.808600Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

58 of 58 outbound references displayed

  • verified exact1
  • verified fuzzy47
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a8da8b2-62a0-4fde-a31c-ba7589c51b50 · outbound

This paper cites Austin, On the norm convergence of non-conventional ergodic averages, Ergodic Theory Dynam.

Pointwise convergence of polynomial multiple ergodic averages along the primes Austin, On the norm convergence of non-conventional ergodic averages, Ergodic Theory Dynam

Reference 1

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:07.589144Z digest=sha256:39ca2e68ca0972553fdc3e78324d76cce7fae7232f60a5492461fbc1483a0f1f

Observation 0db87239-6e6c-4658-b79c-e28d43538634 · outbound

This paper cites Bergelson, Ergodic Ramsey Theory – an update, Ergodic Theory of Zd-actions (edited by M.

Pointwise convergence of polynomial multiple ergodic averages along the primes Bergelson, Ergodic Ramsey Theory – an update, Ergodic Theory of Zd-actions (edited by M

Reference 2

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raw_fallback, observed 2026-08-07T15:22:23.934144Z

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source=pdf_text observed=2026-08-07T15:22:07.631126Z digest=sha256:afcdbf032a3556544ae64610e967c7777ed28486966a49760eaaa8a170f11e31

Observation 6e2a7291-0b10-4daf-a41a-85425ad8ca1f · outbound

This paper cites Bergelson, A.

Pointwise convergence of polynomial multiple ergodic averages along the primes Bergelson, A

Reference 3

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source=pdf_text observed=2026-08-07T15:22:07.752129Z digest=sha256:080061efcef04ff4ff37867c49c3266867e2fb32ea33e5736c4a7cc25d48db35

Observation ec9be497-b4eb-49e0-a800-69a46e7e8421 · outbound

This paper cites Bergelson, Combinatorial and Diophantine Applications of Ergodic Theory (with appendices by A.

Pointwise convergence of polynomial multiple ergodic averages along the primes Bergelson, Combinatorial and Diophantine Applications of Ergodic Theory (with appendices by A

Reference 4

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:07.848345Z digest=sha256:ea6025305b71b0d325e58b588be25ec2ddb536b7f5819d78996c6f8bea1b428b

Observation f50d1da4-8474-4132-a7f6-3ee58ee07494 · outbound

This paper cites Birkhoff, Proof of the ergodic theorem, Proc.

Pointwise convergence of polynomial multiple ergodic averages along the primes Birkhoff, Proof of the ergodic theorem, Proc

Reference 5

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source=pdf_text observed=2026-08-07T15:22:07.923935Z digest=sha256:0065711ec1f5c9c16c81f3f9d0bfd03c42a52292d7bbd0896a1347a2482f3603

Observation c68b4bbe-4ce1-4a57-a655-d90d1457438e · outbound

This paper cites Bourgain, Double recurrence and almost sure convergence, J.

Pointwise convergence of polynomial multiple ergodic averages along the primes Bourgain, Double recurrence and almost sure convergence, J

Reference 6

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:08.009157Z digest=sha256:6d4dfae98b385cd7838d508683800033cc0fe80ef0cf33c8e90737d73da10ca8

Observation e4d1662e-3f8d-4dc2-a522-77b0377f08a3 · outbound

This paper cites Bourgain, Pointwise ergodic theorems for arithmetic sets, Inst.

Pointwise convergence of polynomial multiple ergodic averages along the primes Bourgain, Pointwise ergodic theorems for arithmetic sets, Inst

Reference 7

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source=pdf_text observed=2026-08-07T15:22:08.095220Z digest=sha256:dc8c908a25f250220b38c692b2fb66c200ff0d2b9421e1b4a2a22547b8fe6c77

Observation 03a2e6ec-af9b-4b31-9ae3-6d53292c4384 · outbound

This paper cites Bourgain, An approach to pointwise ergodic theorems, Geometric aspects of functional analysis (1986/87), Lecture Notes in Math., 317, 204–223.

Pointwise convergence of polynomial multiple ergodic averages along the primes Bourgain, An approach to pointwise ergodic theorems, Geometric aspects of functional analysis (1986/87), Lecture Notes in Math., 317, 204–223

Reference 8

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raw_fallback, observed 2026-08-07T15:22:23.038224Z

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source=pdf_text observed=2026-08-07T15:22:08.175395Z digest=sha256:cbf1b35b132483c6f7f81ec1fdd0c0598504dc2a0ef4f46fbbde74741fc2f5b8

Observation 5d0029d8-fc95-477c-80df-c60ee2814e60 · outbound

This paper cites Bourgain, M.

Pointwise convergence of polynomial multiple ergodic averages along the primes Bourgain, M

Reference 9

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raw_fallback, observed 2026-08-07T15:22:22.935994Z

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source=pdf_text observed=2026-08-07T15:22:08.281536Z digest=sha256:fff81002235e057985cb24e6c1264ab32df665b5f008df3b7d1aaec33392210d

Observation 46d3e2aa-d457-4d6d-9308-3fde5cb1434c · outbound

This paper cites Bruhat, Distributions sur un groupe localement compact et applications ` a l’´ etude des repr´ esentations des groupes ℘-adiques, Bull.

Pointwise convergence of polynomial multiple ergodic averages along the primes Bruhat, Distributions sur un groupe localement compact et applications ` a l’´ etude des repr´ esentations des groupes ℘-adiques, Bull

Reference 10

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source=pdf_text observed=2026-08-07T15:22:08.383231Z digest=sha256:9cdda91e6aba866b32d8faf3ca6b96ed21ddaf5ce0de3e96a003dcb50d4f4409

Observation e77f01f0-4fc8-4f9c-96db-443237bce774 · outbound

This paper cites Calder´ on, Ergodic theory and translation invariant operators, Proc.

Pointwise convergence of polynomial multiple ergodic averages along the primes Calder´ on, Ergodic theory and translation invariant operators, Proc

Reference 11

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source=pdf_text observed=2026-08-07T15:22:08.463772Z digest=sha256:01df7c0e382a72563ed170905ef3f34162e2e645f48d05a783302e47ef104db4

Observation a33f7e14-ba2c-4ec8-ac0a-2cd649be6a77 · outbound

This paper cites an unresolved cited work.

Pointwise convergence of polynomial multiple ergodic averages along the primes Unresolved cited work

Reference 12

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source=pdf_text observed=2026-08-07T15:22:08.550922Z digest=sha256:b779be6b134f715f5ab9a79ff7b4366a597156e671d66cd914b61c21ff77f026

Observation 03d1b0bd-8d55-4601-8152-0b0e08935a1e · outbound

This paper cites an unresolved cited work.

Pointwise convergence of polynomial multiple ergodic averages along the primes Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-07T15:22:08.618710Z digest=sha256:bf15d4b6c57ace8dcf3488d894cf09c4b8349897409ba4cd065c7b1d7c667738

Observation 7b3534a4-6eef-40e6-8983-f07feabab189 · outbound

This paper cites Duoandikoetxea, J.L.

Pointwise convergence of polynomial multiple ergodic averages along the primes Duoandikoetxea, J.L

Reference 14

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source=pdf_text observed=2026-08-07T15:22:08.729171Z digest=sha256:f3b3903fc535e124a8ec7d1fe231161fd242cb935a82b960ec53a603cd789968

Observation 633f73a9-e212-4a67-987f-23ebbaa771b3 · outbound

This paper cites an unresolved cited work.

Pointwise convergence of polynomial multiple ergodic averages along the primes Unresolved cited work

Reference 15

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source=pdf_text observed=2026-08-07T15:22:08.844264Z digest=sha256:314c1250c88a2e6b9c9aea8250845650028a174f07986dbc5c4d5c3591249703

Observation 4f072604-515c-4149-a2c5-3d07d3722cc9 · outbound

This paper cites Frantzikinakis, Some open problems on multiple ergodic averages, Bull.

Pointwise convergence of polynomial multiple ergodic averages along the primes Frantzikinakis, Some open problems on multiple ergodic averages, Bull

Reference 16

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source=pdf_text observed=2026-08-07T15:22:08.983056Z digest=sha256:5b984ce3e4e4c014631a113a26b7dbfff014576c578173500e3a1076dd7fd03c

Observation 8e5cd41d-5f38-4c10-bc55-15dbda61f6fc · outbound

This paper cites Frantzikinakis, B.

Pointwise convergence of polynomial multiple ergodic averages along the primes Frantzikinakis, B

Reference 17

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source=pdf_text observed=2026-08-07T15:22:09.092431Z digest=sha256:aa796958296eeff43b68e6039af9872a0ae203e7ea9bf673b1fc248b4527d9be

Observation 85ad193e-0f3c-4e08-a270-c223700db714 · outbound

This paper cites Frantzikinakis, B.

Pointwise convergence of polynomial multiple ergodic averages along the primes Frantzikinakis, B

Reference 18

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source=pdf_text observed=2026-08-07T15:22:09.180096Z digest=sha256:7312a76bf11c93f6f739026c183e1659a487e60a0ff7637b4061ba5ef0ba545a

Observation e3d78727-0998-4d4d-9753-3f7dfbee1308 · outbound

This paper cites Frantzikinakis, B.

Pointwise convergence of polynomial multiple ergodic averages along the primes Frantzikinakis, B

Reference 19

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source=pdf_text observed=2026-08-07T15:22:09.221006Z digest=sha256:1ded73295b88ea5b90c508a24272fee7d7c8744a08ca853fa80ca93531b3504a

Observation 50ed1cfd-e987-49bb-9f5a-2d24fe99ed07 · outbound

This paper cites Furstenberg.

Pointwise convergence of polynomial multiple ergodic averages along the primes Furstenberg

Reference 20

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source=pdf_text observed=2026-08-07T15:22:09.290342Z digest=sha256:2765c3b1a19aad5a13d1c564f0b36c5833910fe1a4667c97b9122dd751b6e627

Observation 6b0ba81b-d5c8-45e2-9395-abd53c83ebaf · outbound

This paper cites Grafakos, Classical Fourier Analysis, third edition, Graduate Texts in Mathematics, vol.

Pointwise convergence of polynomial multiple ergodic averages along the primes Grafakos, Classical Fourier Analysis, third edition, Graduate Texts in Mathematics, vol

Reference 21

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source=pdf_text observed=2026-08-07T15:22:09.388440Z digest=sha256:403777a6051fefca3c2c4c913ac9541b5611c1d83e0a449b7fe8aceb26e145b6

Observation 9ef43ec9-5d8a-4785-a18e-a7393af77ade · outbound

This paper cites an unresolved cited work.

Pointwise convergence of polynomial multiple ergodic averages along the primes Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-07T15:22:09.430695Z digest=sha256:fb7ef0058507b1fdb03e2f4820c15869d2d6d98bb465d8b9a7ed62ae3f0591f3

Observation 845d04c9-a417-421c-aa48-6760de4dd5ea · outbound

This paper cites Green, T.

Pointwise convergence of polynomial multiple ergodic averages along the primes Green, T

Reference 23

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source=pdf_text observed=2026-08-07T15:22:09.541190Z digest=sha256:ff3052490b9cc247ae1e5b32b355e159daff93d38f9c3e1757bbe7dcc09f5ca7

Observation 44725fe1-43ae-4a22-8bac-622b77168d62 · outbound

This paper cites Host, Ergodic seminorms for commuting transformations and applications, Studia Math.

Pointwise convergence of polynomial multiple ergodic averages along the primes Host, Ergodic seminorms for commuting transformations and applications, Studia Math

Reference 24

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source=pdf_text observed=2026-08-07T15:22:09.644959Z digest=sha256:26d6b84133961c5ffa6476c937fbf45a7572e2acae792b0db347a99fedb5bf9a

Observation 40f8c764-c352-4085-967d-bd8ec0193b45 · outbound

This paper cites an unresolved cited work.

Pointwise convergence of polynomial multiple ergodic averages along the primes Unresolved cited work

Reference 25

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Observation 7ccc096c-0bd3-4b7e-83ee-bd639f5e04fc · outbound

This paper cites an unresolved cited work.

Pointwise convergence of polynomial multiple ergodic averages along the primes Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-07T15:22:09.855155Z digest=sha256:6f955606f6274bcda39cd76b9c538a5b31f3f91b32a6368c41a859248116bdd2

Observation 53566606-7b60-4e82-a5e7-5e3b62664cdf · outbound

This paper cites Ionescu, S.

Pointwise convergence of polynomial multiple ergodic averages along the primes Ionescu, S

Reference 27

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source=pdf_text observed=2026-08-07T15:22:09.928282Z digest=sha256:18b857f1d03d49bc4c43b998787cc7614df740b41546eb8ae177da99d89983b7

Observation 5d74d96e-f754-487c-afd1-28cda5569555 · outbound

This paper cites Iwaniec, E.

Pointwise convergence of polynomial multiple ergodic averages along the primes Iwaniec, E

Reference 28

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source=pdf_text observed=2026-08-07T15:22:10.059670Z digest=sha256:725dac8c77de1ca362786d5d1c7842f7dc8828fd910f0b1e10f17f32a20d92c2

Observation ef29e3d3-dd4a-4640-b9a3-d4efffef6fc9 · outbound

This paper cites Kosz, Sharp constants in inequalities admitting the Calder´ on transference principle, Ergodic Theory Dynam.

Pointwise convergence of polynomial multiple ergodic averages along the primes Kosz, Sharp constants in inequalities admitting the Calder´ on transference principle, Ergodic Theory Dynam

Reference 29

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source=pdf_text observed=2026-08-07T15:22:10.155446Z digest=sha256:242b564a785751b93741cc6b69f74dd219084221281f8d02922ab06967115d96

Observation ae24fb5f-e2c8-4eb9-b84d-9d2ef58100a1 · outbound

This paper cites an unresolved cited work.

Pointwise convergence of polynomial multiple ergodic averages along the primes Unresolved cited work

Reference 30

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:22:10.220257Z digest=sha256:8ca33e54c7c6443e35a0953929afe5b4b224689c5f05ed80d4c83926775b401d

Observation 7111d825-6990-477d-9a20-70199a902f2b · outbound

This paper cites Krause, M.

Pointwise convergence of polynomial multiple ergodic averages along the primes Krause, M

Reference 31

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source=pdf_text observed=2026-08-07T15:22:10.328445Z digest=sha256:56c7fda482aae410a769ce1cb5c462d5431bdf02e8586e47397dc72847168d2b

Observation 6757a862-05df-40f6-8397-6712f6a568e7 · outbound

This paper cites Krause, H.

Pointwise convergence of polynomial multiple ergodic averages along the primes Krause, H

Reference 32

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raw_fallback, observed 2026-08-07T15:22:14.435198Z

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source=pdf_text observed=2026-08-07T15:22:10.495511Z digest=sha256:f160ae94f919c77d3d63ca58cac87157202bb2eb2656eb31a46e5fd75fa0d7d7

Observation a269cc25-bae4-4e43-a134-508727563eab · outbound

This paper cites Leibman, Convergence of multiple ergodic averages along polynomials of several variables, Israel J.

Pointwise convergence of polynomial multiple ergodic averages along the primes Leibman, Convergence of multiple ergodic averages along polynomials of several variables, Israel J

Reference 33

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source=pdf_text observed=2026-08-07T15:22:10.636270Z digest=sha256:f4894055b0102a1d2f1c3929d16e52eaa41c91f853d6fb67282b0df91332fa13

Observation 7cc611ba-61b3-45dc-91ef-4e2042a891ab · outbound

This paper cites L´ epingle, La variation d’ordre p des semi-martingales, Z.

Pointwise convergence of polynomial multiple ergodic averages along the primes L´ epingle, La variation d’ordre p des semi-martingales, Z

Reference 34

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source=pdf_text observed=2026-08-07T15:22:10.829846Z digest=sha256:36a06520817fb2be22bcaed3c240183a846512c077523c60a8359edbc72c1866

Observation dcd1125c-295d-4e63-89e8-bbbf3133b8c4 · outbound

This paper cites Matom¨ aki, X.

Pointwise convergence of polynomial multiple ergodic averages along the primes Matom¨ aki, X

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:10.931501Z digest=sha256:bc94132b28c6475e74e74ab4e2e9baaa29dfbc4eec4094f96801a3111a735eaa

Observation 7ac2cc88-ad34-4950-b566-3ce4cd1ac0ea · outbound

This paper cites Matom¨ aki, X.

Pointwise convergence of polynomial multiple ergodic averages along the primes Matom¨ aki, X

Reference 36

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raw_fallback, observed 2026-08-07T15:22:18.767519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:11.132097Z digest=sha256:61581b3a0a2718b5df3e240d7924a0b46a09ab739318ddbaefb5b906cabf1ca7

Observation b1ce4a89-35d3-4030-ac2c-221178d8aa80 · outbound

This paper cites Mehlhop, W.

Pointwise convergence of polynomial multiple ergodic averages along the primes Mehlhop, W

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:18.569307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:11.283683Z digest=sha256:5822fc6e09669feb90754094029e6b693c77c149e27a1bae43bf50627fc8562a

Observation 273f30f4-0d52-4a5c-8314-bee4324b6c16 · outbound

This paper cites Mirek, Square function estimates for discrete Radon transforms, Anal.

Pointwise convergence of polynomial multiple ergodic averages along the primes Mirek, Square function estimates for discrete Radon transforms, Anal

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:18.430696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:11.383119Z digest=sha256:2f085f9d5ceed5549d29da270b11de356e7507213f0615d847da137d66253fb9

Observation cd5184d7-33e5-4969-9ed9-f428acc44836 · outbound

This paper cites Mirek, E.M.

Pointwise convergence of polynomial multiple ergodic averages along the primes Mirek, E.M

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:18.344812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:11.492161Z digest=sha256:329b0ad2a8b8a0429e150a9da9cd7f13745e16fc93087b64f3744a20c972e455

Observation 3134778c-a32c-4340-9b8e-5e23683f63a5 · outbound

This paper cites Mirek, E.M.

Pointwise convergence of polynomial multiple ergodic averages along the primes Mirek, E.M

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:18.159686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:11.605765Z digest=sha256:1e9781dc793bccdbd52aaa8d452cf15d5828cc1e259fa9c7d7fcdec74eefb7e3

Observation 033f9032-94cb-4d33-9062-00bcca188793 · outbound

This paper cites Mirek, B.

Pointwise convergence of polynomial multiple ergodic averages along the primes Mirek, B

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:18.039029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:11.716365Z digest=sha256:d51a8309345f013c43f8c15b9bcfb964cc3ca846611d6f0ff075d97c8a85aaad

Observation 602f2b71-db1a-4473-88b3-5f3ebb586f41 · outbound

This paper cites Mirek, E.M.

Pointwise convergence of polynomial multiple ergodic averages along the primes Mirek, E.M

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:17.844287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:11.882688Z digest=sha256:c93d30c7a40e810f7933a93e5cc72780f09db55982ba8be18a84b27b67f9d1e6

Observation b6b83f5f-bfd6-4285-bee1-47b7df74de02 · outbound

This paper cites Nair, On polynomials in primes and J.

Pointwise convergence of polynomial multiple ergodic averages along the primes Nair, On polynomials in primes and J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:17.640290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:11.970509Z digest=sha256:9ce5c695542c4cf379a8d8eea3f609f7c57788f3ff3bf140ce887235f46edfc7

Observation cb0d1dce-f5c4-4d4d-84b4-5519b2160a16 · outbound

This paper cites Nair, On polynomials in primes and J.

Pointwise convergence of polynomial multiple ergodic averages along the primes Nair, On polynomials in primes and J

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:17.486156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:12.127099Z digest=sha256:5681f475911d447bd498094cc3857755edf5993cefdf37b5b81bbab8f5f55123

Observation 349267ee-c6cf-4181-b56a-fefe4dc0f316 · outbound

This paper cites von Neumann, Proof of the quasi-ergodic hypothesis, Proc.

Pointwise convergence of polynomial multiple ergodic averages along the primes von Neumann, Proof of the quasi-ergodic hypothesis, Proc

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:17.261551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:12.299036Z digest=sha256:cf16f0e8bab5a405e7f10eb77c1fdb77de9e79b5daa99e3deb10e1ed3b8bc0e9

Observation bfa9de3f-ba96-4caa-ba05-51ddf548cc67 · outbound

This paper cites an unresolved cited work.

Pointwise convergence of polynomial multiple ergodic averages along the primes Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:22:17.136720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:12.417277Z digest=sha256:73e6654d4d6c1bd56ea5f00fc1ec5f689f06e615b5e9bcc169cb9c791ae96605

Observation 3e3539c5-1457-49e6-8a62-6b8cdde05f79 · outbound

This paper cites Peluse, Bounds for sets with no polynomial progressions, Forum Math.

Pointwise convergence of polynomial multiple ergodic averages along the primes Peluse, Bounds for sets with no polynomial progressions, Forum Math

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:16.923241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:12.521463Z digest=sha256:21de1f52efd9fae67794d3e48c4cd0cf0b066c7354846bb83008c61e06c630db

Observation b2d62234-160c-40b5-a8a8-08fa5e2b6f68 · outbound

This paper cites Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No.

Pointwise convergence of polynomial multiple ergodic averages along the primes Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:16.772622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:12.626984Z digest=sha256:a474a33a2fa154f1f20c5208a4c3891df3e7b443d93b84925545878bef736c4e

Observation baaf744a-bbca-4ad9-acf8-b3a092a80b63 · outbound

This paper cites Szemer´ edi.

Pointwise convergence of polynomial multiple ergodic averages along the primes Szemer´ edi

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:16.529503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:12.784169Z digest=sha256:3fe5cbb4c34bdca63dd7996b6393ed4edde662a3ef94a0d5b9234d1921cb119e

Observation 73880ceb-f42b-4af5-9736-c2fdc541f97c · outbound

This paper cites Tao, Norm convergence of multiple ergodic averages for commuting transformations, Ergodic Theory Dynam.

Pointwise convergence of polynomial multiple ergodic averages along the primes Tao, Norm convergence of multiple ergodic averages for commuting transformations, Ergodic Theory Dynam

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:16.321552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:12.918614Z digest=sha256:1fc23f71e38b90bcc08a5905525a4b16c4002936d4efe916d73df3b5e3e3c16e

Observation 73a6ae81-ac2a-434c-99c0-e55233e51190 · outbound

This paper cites Tao, The Ionescu-Wainger multiplier theorem and the adeles, Mathematika 67 (2021), 647-677.

Pointwise convergence of polynomial multiple ergodic averages along the primes Tao, The Ionescu-Wainger multiplier theorem and the adeles, Mathematika 67 (2021), 647-677

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:16.086287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:13.049728Z digest=sha256:ee88aa3366c21cbe3ff2a9198d0e7121df62aee09f3a8c2f84182765f5801e72

Observation 236a01d4-f6c3-4953-90e2-a08f1c98b0e4 · outbound

This paper cites an unresolved cited work.

Pointwise convergence of polynomial multiple ergodic averages along the primes Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:22:15.857602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:13.170894Z digest=sha256:ece4675eef07e6abbb2c908cfa1bce67b09b6cbd92fd1980b1a99b5d9db1d437

Observation dcb970ea-1c01-4d53-ac97-b652e418ce56 · outbound

This paper cites Pointwise convergence of ergodic averages with M\"obius weight.

Pointwise convergence of polynomial multiple ergodic averages along the primes Pointwise convergence of ergodic averages with M\"obius weight

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T15:22:13.293164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:22:13.293164Z digest=sha256:f9176b1035bb4f78314a74859c8f116664f118418800bdbb3156f661edd91798

Observation 625bc397-f0f8-412a-8b29-c570797b4b80 · outbound

This paper cites Trojan, Variational estimates for discrete operators modeled on multi-dimensional polynomial subsets of primes, Math.

Pointwise convergence of polynomial multiple ergodic averages along the primes Trojan, Variational estimates for discrete operators modeled on multi-dimensional polynomial subsets of primes, Math

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:15.691817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:13.474447Z digest=sha256:bf7450cf77b255766fdbf67970c77349229d92f7f2fb5767c0f5459a9900625b

Observation 04a10536-4967-444f-bd0d-af9d189a010d · outbound

This paper cites Walsh, Norm convergence of nilpotent ergodic averages, Ann.

Pointwise convergence of polynomial multiple ergodic averages along the primes Walsh, Norm convergence of nilpotent ergodic averages, Ann

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:15.484473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:13.662901Z digest=sha256:2b664919487adc9d7fa292077423426f968722fcadc75811bb99665451e9fdba

Observation 5b5d367e-4722-47a3-a844-732f675be81f · outbound

This paper cites Wierdl, Pointwise ergodic theorem along the prime numbers , Israel J.

Pointwise convergence of polynomial multiple ergodic averages along the primes Wierdl, Pointwise ergodic theorem along the prime numbers , Israel J

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:15.243985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:13.779215Z digest=sha256:e818c869ab8baa77ef9cdad8453f7f8b17e9fbbeb4b7f46c265360e185571082

Observation 2d8d02b7-8d52-4910-b080-a35a5206b120 · outbound

This paper cites Wooley, T.

Pointwise convergence of polynomial multiple ergodic averages along the primes Wooley, T

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:14.981381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:13.896224Z digest=sha256:6bc1bdeba686d679cbff9e5e271ea4a114346085109c1a702ee5a0090ade9c0c

Observation 77926f91-76df-4d67-bebb-b75fa3612df3 · outbound

This paper cites Ziegler, Universal characteristic factors and Furstenberg averages, J.

Pointwise convergence of polynomial multiple ergodic averages along the primes Ziegler, Universal characteristic factors and Furstenberg averages, J

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:22:14.706678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T15:22:14.048302Z digest=sha256:8be7d810408e6153ec6c86daa881dc126950dc78ff5b81821000b93cd36acfa5

Pith citing papers

Observation b64aa57f-4366-4164-817b-8e026cea8c7b · inbound

Structure of 2-step nilpotent ergodic averages for distinct-degree polynomials cites this paper.

Structure of 2-step nilpotent ergodic averages for distinct-degree polynomials Pointwise convergence of polynomial multiple ergodic averages along the primes

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-03T08:36:56.808600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:36:56.808600Z digest=sha256:c69702f115114c470e4a4eddcbcc11efa08d425e9de3c2fecce1ca0726af1449