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

Corresponding Member of the RAS V. A. Bykovskii^a^,* and A. V. Ustinov^b^,**

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

^bPacific National University, Khabarovsk, 680035 Russia

Correspondence to: *e-mail: vab@iam.khv.ru
Correspondence to: **e-mail: ustinov.alexey@gmail.com

Received 28 May, 2020

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

DOI: 10.1134/S1064562420050294