This article is cited in 8 papers

Representation of integers by isotropic ternary quadratic forms

U. M. Pachev

Kabardino-Balkar State University

Abstract: The discrete ergodic method is used to find a complete solution of the problem of the asymptotic behaviour of the number of representations of integers by an arbitrary integral isotropic ternary quadratic form both over regions on the corresponding surface and over the residue classes of a given modulus.

UDC: 511.512

MSC: 11E8, 11E12, 11E16, 11E20, 11D80, 11D85, 11D99, 11H55, 11K99, 11P05, 11P21, 11R52, 37A45

Received: 19.04.2005

DOI: 10.4213/im676

 English version: Izvestiya: Mathematics, 2006, 70:3, 587–604

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