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

Pachev U. M.
Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 2.

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.

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

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