This article is cited in 2 papers

About the number of primitive non-associated second order matrices of determinant $n$ divisible by a given matrix

U. M. Pachev

Kabardino-Balkar State University, Nal'chik, Russia

Abstract: We obtained formulae for the number of primitive non-associated second order matrices of given odd determinant, as well as for the number of such matrices divisible on the right (left) by the given matrix used in questions of representability of integers by indefinite ternary quadratic forms.

Key words: discrete ergidic method, primitive matrix of integers, norm (determinant) of a matrix, divisibility of matrices, non-associated matrices on the right (left).

UDC: 511.517

Received: 21.04.2015