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arXiv:1307.6606 [math.NT]AbstractReferencesReviewsResources

Counting Square Discriminants

Thomas A. Hulse, E. Mehmet Kıral, Chan Ieong Kuan, Li-Mei Lim

Published 2013-07-24, updated 2015-08-06Version 3

Counting integral binary quadratic forms with certain restrictions is a classical problem. In this paper, we count binary quadratic forms of fixed discriminant given restrictions on the size of their coefficients. We accomplish this by investigating the analytic properties of a certain double Dirichlet series, which is a shifted convolution sum of certain classical automorphic forms.

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