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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 245, Pages 130–148 (Mi znsl537)  
Binary problems. A spectral approach

A. I. Vinogradov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (231 kB)
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
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 100, Issue 2, Pages 2092–2104
DOI: https://doi.org/10.1007/BF02675730
Bibliographic databases:
UDC: 517.9
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Vin97}
\by A.~I.~Vinogradov
\paper Binary problems. A spectral approach
\inbook Questions of quantum field theory and statistical physics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 245
\pages 130--148
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl537}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1627853}
\zmath{https://zbmath.org/?q=an:1011.11063}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 100
\issue 2
\pages 2092--2104
\crossref{https://doi.org/10.1007/BF02675730}
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