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Dal'nevostochnyi Matematicheskii Zhurnal, 2017, Volume 17, Number 2, Pages 147–151 (Mi dvmg348)  
On the distribution of integer points on a hyperboloid

V. A. Bykovskii

Khabarovsk Division of the Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences
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Abstract: A new method for studying integer points on hyperboloids (Linnik problem) is proposed. It is based on the spectral theory of automorphic functions. In doing so an asymptotic formula with a  fundamentally new power saving  error term  is obtained.
Key words: distribution of integer points on a hyperboloid, spectral theory of automorphic functions, L-series of automorphic forms, Shintani correspondence.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00225
Received: 26.10.2017
Bibliographic databases:
Document Type: Article
UDC: 511.334+511.335, 511,334
MSC: Primary 11F03; Secondary 11F12
Language: Russian
Citation: V. A. Bykovskii, “On the distribution of integer points on a hyperboloid”, Dal'nevost. Mat. Zh., 17:2 (2017), 147–151
Citation in format AMSBIB
\Bibitem{Byk17}
\by V.~A.~Bykovskii
\paper On the distribution of integer points on a hyperboloid
\jour Dal'nevost. Mat. Zh.
\yr 2017
\vol 17
\issue 2
\pages 147--151
\mathnet{http://mi.mathnet.ru/dvmg348}
\elib{https://elibrary.ru/item.asp?id=32239877}
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