Asymptotic distribution of integer-valued binary forms of a fixed discriminant
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 4, Tome 112 (1981), pp. 26-40
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Under the assumption on the boundary of the zeros of the Dirichlet $L$-functions, one obtains a refinement of the results of Yu. V. Linnik and B. F. Skubenko on the uniformity of the distribution of integral points on the hyperboloids $$ D=b^2-ac,\qquad(D\ne0). $$ As a corollary one obtains the asymptotic behavior of the number of reduced indefinite binary quadratic forms of discriminant $4D$.