Paper Citation Record · LEDGER

Multi-Parameter Exponential Sums with Product Hilbert Kernels

As of 12 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.25955.

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

pith.paper-citation-record.v1
2607.25955 v2

Coverage vector

measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T01:35:07.301036Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

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External citation measurements

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Outbound references

Observation 272c742e-a0ec-4f11-b867-bab5d037ca06 · outbound

This paper cites Arkhipov, V.N.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Arkhipov, V.N

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:04.822528Z

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Observation d4106057-bbae-412c-b27d-e9fae0595ab8 · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:04.929291Z

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Observation 37863418-0355-460c-89cc-251472b1c45d · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:05.111498Z

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Observation d8f0a0f3-d8aa-4674-b0e7-8caa9578f2fb · outbound

This paper cites Bellow, Measure Theory Oberwolfach 1981.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Bellow, Measure Theory Oberwolfach 1981

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:05.273272Z

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Observation 0067fe10-6d6a-4831-9c75-9d541b03f04b · outbound

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

Multi-Parameter Exponential Sums with Product Hilbert Kernels Birkhoff,Proof of the ergodic theorem,Proc

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:05.417555Z

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Observation 7f9298c6-2532-46fd-861e-033de770f2a8 · outbound

This paper cites Bourgain,On the maximal ergodic theorem for certain subsets of the integers, Israel J.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Bourgain,On the maximal ergodic theorem for certain subsets of the integers, Israel J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:05.571945Z

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Observation 79f822f3-a067-4092-979d-338df643c441 · outbound

This paper cites Bourgain,On the pointwise ergodic theorem onLp for arithmetic sets, Israel J.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Bourgain,On the pointwise ergodic theorem onLp for arithmetic sets, Israel J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:05.705211Z

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Observation bbeb5b9e-77b9-451b-bba8-0d9bd99f2324 · outbound

This paper cites Bourgain,Pointwise ergodic theorems for arithmetic sets, with an appendix by the author, H.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Bourgain,Pointwise ergodic theorems for arithmetic sets, with an appendix by the author, H

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:05.845081Z

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Observation 1bb0ada1-4d79-462a-9c7b-34f77bce9c27 · outbound

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

Multi-Parameter Exponential Sums with Product Hilbert Kernels Bourgain,Double recurrence and almost sure convergence.J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:06.020878Z

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Observation 8771fad3-7c70-4269-8859-1c0f6665dc50 · outbound

This paper cites Bourgain, M.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Bourgain, M

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:06.141327Z

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Observation bb7c87a5-24f5-4d31-bc9f-b9f3cf2b9ae3 · outbound

This paper cites Carbery, S.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Carbery, S

Reference 11

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Observation 3dbfaa48-9d4e-41bd-8f0f-60a9baa44b3e · outbound

This paper cites Carbery, S.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Carbery, S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:06.318102Z

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Observation 3413e33c-e94f-47e4-bc54-0b6108360cc6 · outbound

This paper cites Carbery, J.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Carbery, J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:06.517363Z

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Observation 8cb87b3b-6507-401f-9e17-a6abc97030ae · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:06.657895Z

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Observation 154ea31f-8e9e-4a5f-b18e-ea9ebdbcddc9 · outbound

This paper cites Dunford,An individual ergodic theorem for non-commutative transformations, Acta Sci.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Dunford,An individual ergodic theorem for non-commutative transformations, Acta Sci

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:06.824940Z

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Observation cbf2d696-8957-40d3-b236-b5ed01973ed6 · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 16

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Observation 92e46fda-d2b6-4e9b-a0b1-1f9fe8791eca · outbound

This paper cites Fulton,Introduction to toric varieties, Annals of Mathematics Studies, vol.131, Princeton University Press, Princeton, NJ, 1993.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Fulton,Introduction to toric varieties, Annals of Mathematics Studies, vol.131, Princeton University Press, Princeton, NJ, 1993

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.115256Z

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Observation 2cdb954b-6411-4d13-942d-46072f6db26a · outbound

This paper cites Furstenberg,Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions.J.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Furstenberg,Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions.J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.161095Z

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Observation 9a6ec2a0-42eb-4092-94b3-916f7ca87180 · outbound

This paper cites Furstenberg, Problems Session, Conference on Ergodic Theory and Applications University of New Hampshire, Durham, NH, June 1982.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Furstenberg, Problems Session, Conference on Ergodic Theory and Applications University of New Hampshire, Durham, NH, June 1982

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.166321Z

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Observation f54e4fa6-3d13-42e8-ace0-f5653f93c1db · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.171726Z

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Observation 52a51ef7-f207-4f07-97f4-5ede8df44e68 · outbound

This paper cites Discrete analogues in harmonic analysis: Multi-parameter Radon averages.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Discrete analogues in harmonic analysis: Multi-parameter Radon averages

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.176552Z

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Observation 7225301c-869d-4a90-a43c-87796a2b5c85 · outbound

This paper cites Ionescu, A.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Ionescu, A

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.182288Z

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Observation 7ae402cf-c80c-4666-ac93-fb8f6af89341 · outbound

This paper cites Ionescu, A.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Ionescu, A

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.187191Z

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Observation 99c2ef86-78f9-4a1a-9aa9-fe5cba5c3aca · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.191596Z

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Observation 27a6b123-8414-4f90-859b-5d0c67fbe283 · outbound

This paper cites Ionescu, S.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Ionescu, S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.196790Z

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Observation 7eda9e87-f06b-413a-bf0f-a73832142dc9 · outbound

This paper cites Kim,Multiple Hilbert transforms associated with polynomials, Memoir of AMS,237(2015), no 3, 1-120.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Kim,Multiple Hilbert transforms associated with polynomials, Memoir of AMS,237(2015), no 3, 1-120

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.201597Z

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Observation 56bea3d2-a066-4ba1-b10f-8be46034b766 · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.206160Z

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Observation bc936da4-2ae3-45fb-990f-6ceb69d1f3d7 · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.211406Z

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Observation 2b08d345-61ce-47ce-a0c6-9dee6bc3ee6b · outbound

This paper cites Krause, M.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Krause, M

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.217148Z

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Observation 1c399e4f-5ffb-4e4e-ac63-46fef527dbdb · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.223550Z

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Observation e2b47cdc-fa68-41aa-a8ef-0f3424685354 · outbound

This paper cites Magyar, E.M.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Magyar, E.M

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.228074Z

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Observation 1b349444-639c-4304-811b-86946eee1073 · outbound

This paper cites Magyar, E.M.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Magyar, E.M

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.233080Z

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Observation 0aec6501-9c7d-4268-8745-79fb59a73a7f · outbound

This paper cites Mirek, E.M.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Mirek, E.M

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.237545Z

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Observation 7c1ee583-74e4-498f-b76a-cfb201d74a6e · outbound

This paper cites Mirek, B.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Mirek, B

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.242287Z

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Observation 8e64bbf3-9c8e-4af1-91c0-3a34395ac98b · outbound

This paper cites Mirek, T.Z.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Mirek, T.Z

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.247218Z

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Observation 253d1d1f-4af5-4915-94e5-0d048b6f3e6e · outbound

This paper cites Nagel, S.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Nagel, S

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.253333Z

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Observation 46c55855-2b4e-49c9-a910-e81f3450cd1c · outbound

This paper cites Patel,Double Hilbert transforms along polynomial surfaces in R3, Glasg.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Patel,Double Hilbert transforms along polynomial surfaces in R3, Glasg

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.261298Z

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Observation 35b4f02d-9e06-4f5c-bcc5-b0afeeaa8c2f · outbound

This paper cites Ricci, E.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Ricci, E

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.266722Z

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Observation 8e2f2972-e610-4762-a56f-282e32b41feb · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.271610Z

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Observation 366b52b0-fbfe-450a-93fc-918bc2b49be6 · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.276982Z

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Observation 84051c60-ac24-408f-9bab-813472c3e7c0 · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.281521Z

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Observation 8b4510f7-7d1f-4595-84ce-ede14905541d · outbound

This paper cites Szemerédi, On sets of integers containing no k elements in arithmetic progression.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Szemerédi, On sets of integers containing no k elements in arithmetic progression

Reference 42

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Observation 54096d04-9f4b-4440-9675-fde5077952a5 · outbound

This paper cites an unresolved cited work.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Unresolved cited work

Reference 43

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Observation 5966901c-c3a2-48f3-a7ad-b390df8493d6 · outbound

This paper cites Tao,The Ionescu–Wainger multiplier theorem and the adeles, Mathematika,63(2021), no.3, 557–737.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Tao,The Ionescu–Wainger multiplier theorem and the adeles, Mathematika,63(2021), no.3, 557–737

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.296700Z

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Observation 38d53864-987b-4020-b505-632cdfd72539 · outbound

This paper cites Zygmund,An individual ergodic theorem for non-commutative transformations, Acta Sci.

Multi-Parameter Exponential Sums with Product Hilbert Kernels Zygmund,An individual ergodic theorem for non-commutative transformations, Acta Sci

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T01:35:07.301036Z

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Pith citing papers

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