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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive
Dokl. RAN. Math. Inf. Proc. Upr., 2020 Volume 494, Pages 14–16 (Mi danma108)
MATHEMATICS

Three-dimensional analogues of the Heath-Brown and Selberg identities

V. A. Bykovskiia, A. V. Ustinovb

a Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Khabarovsk, Russian Federation
b Pacific National University, Khabarovsk, Russian Federation

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

Keywords: analytic number theory, Kloosterman sums, estimates of trigonometric sums.

UDC: 511.336

Received: 28.05.2020
Revised: 09.06.2020
Accepted: 17.06.2020

DOI: 10.31857/S2686954320050318


 English version: Doklady Mathematics, 2020, 102:2, 364–366

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© Steklov Math. Inst. of RAS, 2025