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Representations of integers by certain positive definite binary quadratic forms |
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| Authors: | M. Ram Murty Robert Osburn |
| Affiliation: | (1) Department of Mathematics & Statistics, Queen’s University, Kingston, ON, Canada, K7L 3N6;(2) Max Planck Institute für Mathematik, Vivatsgasse 7, 53111, Bonn, Germany |
| Abstract: | We prove part of a conjecture of Borwein and Choi concerning an estimate on the square of the number of solutions to n=x 2+Ny 2 for a squarefree integer N. |
| Keywords: | Binary quadratic forms Genus characters Rankin-Selberg convolution of L functions Modular forms |
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