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On Dirichlet series whose coefficients are class numbers of binary quadratic forms*

Published online by Cambridge University Press:  22 January 2016

Boris A. Datskovsky
Boris A. Datskovsky*
Affiliation:
Department of Mathematics, Temple University, Philadelphia, PA 19122, USA
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For an integer d > 0 (resp. d < 0) let hd denote the number of Sl2(Z)-equivalence classes of primitive (resp. primitive positive-definite) integral binary quadratic forms of discriminant d. For where t and u are the smallest positive integral solutions of the equation t2 − du2 = 4 if d is a non-square and εd = 1 if d is a square.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 142 , June 1996 , pp. 95 - 132
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

Footnotes

*

Research supported by SFB-170, Göttingen, Germany and by a Fulbright fellowship

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