A remark on a conjecture of Borwein and Choi
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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 $N$.References
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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
- MR Author ID: 690471
- Email: osburnr@mast.queensu.ca, osburn@mpim-bonn.mpg.de
- Received by editor(s): June 9, 2004
- Published electronically: April 25, 2005
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 2903-2909
- MSC (2000): Primary 11E25, 11E45
- DOI: https://doi.org/10.1090/S0002-9939-05-07980-3
- MathSciNet review: 2159768