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Three-Dimensional Analogues of the Heath-Brown and Selberg Identities

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Abstract—

Analogues of the Heath-Brown and Selberg identities for three-dimensional Kloosterman sums are proved.

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Funding

The study of the second author (Theorem 1) was supported by the Russian Science Foundation, project no. 18-41-05001.

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Authors and Affiliations

  1. Khabarovsk Division of the Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, 680000, Khabarovsk, Russia

    V. A. Bykovskii

  2. Pacific National University, 680035, Khabarovsk, Russia

    A. V. Ustinov

Authors
  1. V. A. Bykovskii
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  2. A. V. Ustinov
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Corresponding authors

Correspondence to V. A. Bykovskii or A. V. Ustinov.

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Translated by N. Berestova

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Bykovskii, V.A., Ustinov, A.V. Three-Dimensional Analogues of the Heath-Brown and Selberg Identities. Dokl. Math. 102, 364–366 (2020). https://doi.org/10.1134/S1064562420050294

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  • DOI: https://doi.org/10.1134/S1064562420050294

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