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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 494, Pages 14–16
DOI: https://doi.org/10.31857/S2686954320050318 (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
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DOI: https://doi.org/10.31857/S2686954320050318
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.
Funding agency Grant number
Russian Science Foundation 18–41–05001
The study of the second author (Theorem 1) was supported by the Russian Science Foundation, project no. 18-41-05001.
Received: 28.05.2020
Revised: 09.06.2020
Accepted: 17.06.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 2, Pages 364–366
DOI: https://doi.org/10.1134/S1064562420050294
Bibliographic databases:
Document Type: Article
UDC: 511.336
Language: Russian
Citation: V. A. Bykovskii, A. V. Ustinov, “Three-dimensional analogues of the Heath-Brown and Selberg identities”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 14–16; Dokl. Math., 102:2 (2020), 364–366
Citation in format AMSBIB
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\paper Three-dimensional analogues of the Heath-Brown and Selberg identities
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\pages 14--16
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\crossref{https://doi.org/10.31857/S2686954320050318}
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\elib{https://elibrary.ru/item.asp?id=44344639}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 2
\pages 364--366
\crossref{https://doi.org/10.1134/S1064562420050294}
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