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Zapiski Nauchnykh Seminarov 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 $(m,n)$.
Received: 28.10.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 3, Pages 2311–2318
DOI: https://doi.org/10.1023/B:JOTH.0000024612.74687.3b
Bibliographic databases:
UDC: 512
Language: Russian
Citation: A. I. Vinogradov, “The Linnik conjecture. II”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Zap. Nauchn. Sem. POMI, 283, POMI, St. Petersburg, 2001, 37–49; J. Math. Sci. (N. Y.), 121:3 (2004), 2311–2318
Citation in format AMSBIB
\Bibitem{Vin01}
\by A.~I.~Vinogradov
\paper The Linnik conjecture.~II
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~VI
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 283
\pages 37--49
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1521}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879061}
\zmath{https://zbmath.org/?q=an:1146.11322}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 3
\pages 2311--2318
\crossref{https://doi.org/10.1023/B:JOTH.0000024612.74687.3b}
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