Abstract
The Linnik conjecture is proved in the mean-square variant over the integer parameters (m,n) of the Kloosterman sum S(m,n;c). This mean may be called arithmetic, because the arithmetic of Kloosterman sums depends on the parameters (m,n). Bibliography: 10 titles.
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Vinogradov, A.I. The Linnik Conjecture. II. Journal of Mathematical Sciences 121, 2311–2318 (2004). https://doi.org/10.1023/B:JOTH.0000024612.74687.3b
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DOI: https://doi.org/10.1023/B:JOTH.0000024612.74687.3b