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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A remark on a conjecture of Borwein and Choi
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by Robert Osburn PDF
Proc. Amer. Math. Soc. 133 (2005), 2903-2909 Request permission

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