Counting Square Discriminants
Number Theory
2015-08-10 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1307.6606,
title = {Counting Square Discriminants},
author = {Thomas A. Hulse and E. Mehmet Kıral and Chan Ieong Kuan and Li-Mei Lim},
journal= {arXiv preprint arXiv:1307.6606},
year = {2015}
}