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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 283, Pages 37–49 (Mi znsl1521)

The Linnik conjecture. II

A. I. Vinogradov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The Linnik conjecture is proved in the measquare variant over the integer parameters $(m,n)$ of the Kloosterman sum $S(m,n;c)$. This mean may be called arithmetic, because the arithmetics of Kloosterman sums depends on the parameters $(m,n)$.

UDC: 512

Received: 28.10.2001


 English version:
Journal of Mathematical Sciences (New York), 2004, 121:3, 2311–2318

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© Steklov Math. Inst. of RAS, 2025