ASYMPTOTIC DISTRIBUTION OF CLASSES OF POSITIVE BINARY QUADRATIC FORMS WITH CONDITIONS OF DIVISIBILITY OF COEFFICIENTS

摘要

Asymptotic formulas for the number of classes of positive binary quadratic forms with conditions of divisibility of extreme coefficients are obtained by the discrete ergodic method. 1. The aim of this paper is to develop Yu. V. Linnik's investigation [1,2] of asymptotic computation of the number of classes of positive binary forms with the condition of divisibility of coefficients in connection with applications of the discrete ergodic method extended by Linnik to arithmetic forms.