Paper Citation Record · LEDGER

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields

As of 8 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 2 inbound Pith citation observations for arXiv:2505.22059.

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

pith.paper-citation-record.v1
2505.22059 v2

Coverage vector

measured 42 of 42 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

42 of 42 outbound references displayed

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External citation measurements

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Outbound references

Observation 1f61589a-b4fd-4c5b-aa43-b5b6ec2ed4ba · outbound

This paper cites Billingsley, Probability and measure, Third, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, Inc., New York, 1995.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Billingsley, Probability and measure, Third, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, Inc., New York, 1995

Reference 1

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 2

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 3

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This paper cites Bonis, Stein ’s method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem , Probab.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Bonis, Stein ’s method for normal approximation in Wasserstein distances with application to the multivariate central limit theorem , Probab

Reference 4

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 5

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Observation 76f7ce1a-7097-46b1-917c-5aa99d48822a · outbound

This paper cites Borda, Berry-Esseen smoothing inequality for the Wasserstein metric on compact Lie groups , J.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Borda, Berry-Esseen smoothing inequality for the Wasserstein metric on compact Lie groups , J

Reference 6

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This paper cites II: The Wasserstein metric , Bernoulli 27 (2021), no.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields II: The Wasserstein metric , Bernoulli 27 (2021), no

Reference 7

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This paper cites Bourbaki, ´El´ ements de math´ ematique.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Bourbaki, ´El´ ements de math´ ematique

Reference 8

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This paper cites Th´ eories spectrales.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Th´ eories spectrales

Reference 9

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This paper cites Bourgain, A.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Bourgain, A

Reference 10

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Brown and S

Reference 11

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Burkhardt, A Z-Y

Reference 12

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This paper cites Deligne, La conjecture de Weil.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Deligne, La conjecture de Weil

Reference 13

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Drmota and R

Reference 14

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Reference 15

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This paper cites Erd¨ os and P.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Erd¨ os and P

Reference 16

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This paper cites Arithmetic Fourier transforms over finite fields: generic vanishing, convolution, and equidistribution.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Arithmetic Fourier transforms over finite fields: generic vanishing, convolution, and equidistribution

Reference 17

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Fouvry and Ph

Reference 18

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 19

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This paper cites An effective Deligne's equidistribution theorem.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields An effective Deligne's equidistribution theorem

Reference 20

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This paper cites The asymptotic Mahler measure of Gaussian periods.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields The asymptotic Mahler measure of Gaussian periods

Reference 21

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 22

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This paper cites Graham, Irregularity of distribution in Wasserstein distance , J.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Graham, Irregularity of distribution in Wasserstein distance , J

Reference 23

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Gray, Tubes, Second, Progress in Mathematics, vol

Reference 24

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This paper cites Katz, Gauss sums, Kloosterman sums, and monodromy groups , Annals of Mathematics Studies, vol.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Katz, Gauss sums, Kloosterman sums, and monodromy groups , Annals of Mathematics Studies, vol

Reference 25

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Sato–Tate theorems for finite-field Mellin transforms , Annals of Mathematics Studies, vol

Reference 26

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Katz and P

Reference 27

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Kowalski and W.F

Reference 29

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Kowalski and T

Reference 30

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Kurlberg, L

Reference 31

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Neukirch, Algebraic number theory

Reference 32

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This paper cites Niederreiter, The distribution of values of Kloosterman sums , Arch.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Niederreiter, The distribution of values of Kloosterman sums , Arch

Reference 33

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This paper cites Platt, Visual aspects of Gaussian periods and analogues , Int.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Platt, Visual aspects of Gaussian periods and analogues , Int

Reference 34

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Sawin, A

Reference 35

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Shi and B

Reference 36

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This paper cites Steinerberger, Wasserstein distance, Fourier series and applications , Monatsh.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Steinerberger, Wasserstein distance, Fourier series and applications , Monatsh

Reference 37

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This paper cites Untrau, Study of the distribution of some short exponential sums , Ph.D.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Untrau, Study of the distribution of some short exponential sums , Ph.D

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:33:57.280094Z

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Unresolved cited work

Reference 39

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Observation 785bc4ce-c0ba-4203-b5e1-29bc1361a45f · outbound

This paper cites Villani, Topics in optimal transportation, Graduate Studies in Mathematics, vol.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Villani, Topics in optimal transportation, Graduate Studies in Mathematics, vol

Reference 40

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Observation d1071aca-fac3-480a-b7cd-3fc59efde3a6 · outbound

This paper cites Weyl, ¨Uber die Gleichverteilung von Zahlen mod.

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Weyl, ¨Uber die Gleichverteilung von Zahlen mod

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:33:56.621702Z

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Observation d6684e52-c3cc-4f2d-bc73-9c561f51c30d · outbound

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Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields Equidistributions of Jacobi sums

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:33:56.003485Z

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Pith citing papers

Observation 41c406f3-775e-4bc4-8e62-236233e33d86 · inbound

The asymptotic Mahler measure of Gaussian periods cites this paper.

The asymptotic Mahler measure of Gaussian periods Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields

Reference 61

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A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races cites this paper.

A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-15T08:15:16.893830Z

Source-reported events for the cited work

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