Geodesic
Binary problems. A spectral approach
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 130-148

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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. 
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     author = {A. I. Vinogradov},
     title = {Binary problems. {A} spectral approach},
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     volume = {245},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a6/}
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A. I. Vinogradov. Binary problems. A spectral approach. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 130-148. http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a6/