Abstract
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=b2−ac (D≠0). As a corollary one obtains the asymptotic behavior of the number of reduced indefinite binary quadratic forms of discriminant 4D.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 112, pp. 26–40, 1981.
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Golubeva, E.P. Asymptotic distribution of integer-valued binary forms of a fixed discriminant. J Math Sci 25, 988–998 (1984). https://doi.org/10.1007/BF01680821
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DOI: https://doi.org/10.1007/BF01680821