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Proceedings of the American Mathematical Society
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
Email: osburnr@mast.queensu.ca, osburn@mpim-bonn.mpg.de

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07980-3
PII: S 0002-9939(05)07980-3
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