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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 245, Pages 130–148
(Mi znsl537)
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Binary problems. A spectral approach
A. I. Vinogradov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
This is the first part of the work on the Goldbach binary problem. Here an arithmetic analog of the Heisenberg noncommutativity for the Möbius function is introduced. With the help of this analog the binary problem is
translated into the language of the mean for Klosterman sums. In the second part this mean will be translated into the language of spectral estimates that yield a solution of the binary problem.
Received: 23.04.1996
Citation:
A. I. Vinogradov, “Binary problems. A spectral approach”, Questions of quantum field theory and statistical physics. Part 14, Zap. Nauchn. Sem. POMI, 245, POMI, St. Petersburg, 1997, 130–148; J. Math. Sci. (New York), 100:2 (2000), 2092–2104
Linking options:
https://www.mathnet.ru/eng/znsl537 https://www.mathnet.ru/eng/znsl/v245/p130
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Abstract page: | 307 | Full-text PDF : | 105 |
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