Far Eastern Mathematical Journal

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On the distribution of integer points on a hyperboloid

Bykovskii V.A.

2017, issue 2, Ñ. 147-151

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.

distribution of integer points on a hyperboloid, spectral theory of automorphic functions, L-series of automorphic forms, Shintani correspondence

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