Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415345 | Journal of Number Theory | 2016 | 20 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Thomas A. Hulse, Chan Ieong Kuan, Eren Mehmet Kıral, Li-Mei Lim,