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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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