Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A remark on a conjecture of Borwein and Choi

Author: Robert Osburn
Journal: Proc. Amer. Math. Soc. 133 (2005), 2903-2909
MSC (2000): Primary 11E25, 11E45
Published electronically: April 25, 2005
MathSciNet review: 2159768
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Abstract: We prove the remaining case 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 $N$.

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Additional Information

Robert Osburn
Affiliation: Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada K7L 3N6
Address at time of publication: Max-Planck Institut für Mathematik, Vivatsgasse 7, Bonn, Germany

Received by editor(s): June 9, 2004
Published electronically: April 25, 2005
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2005 American Mathematical Society