FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On the distribution of integer points on a hyperboloid |
Bykovskii V.A. |
2017, issue 2, P. 147-151 |
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. |
Keywords: distribution of integer points on a hyperboloid, spectral theory of automorphic functions, L-series of automorphic forms, Shintani correspondence |
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References |
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