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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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Positive ternary quadratic forms with finitely many exceptions
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by Wai Kiu Chan and Byeong-Kweon Oh PDF
Proc. Amer. Math. Soc. 132 (2004), 1567-1573 Request permission

Abstract:

An integral quadratic form $f$ is said to be almost regular if $f$ globally represents all but finitely many integers that are represented by the genus of $f$. In this paper, we study and characterize all almost regular positive definite ternary quadratic forms.
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Additional Information
  • Wai Kiu Chan
  • Affiliation: Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459
  • MR Author ID: 336822
  • Email: wkchan@wesleyan.edu
  • Byeong-Kweon Oh
  • Affiliation: Department of Applied Mathematics, Sejong University, Seoul 143-747, Korea
  • Email: bkoh@sejong.ac.kr
  • Received by editor(s): October 15, 2002
  • Published electronically: January 27, 2004
  • Additional Notes: The research of the first author is partially supported by the National Security Agency and the National Science Foundation
    The work of the second author was supported by KOSEF Grant # 98-0701-01-05-L
  • Communicated by: David E. Rohrlich
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1567-1573
  • MSC (2000): Primary 11E12, 11E20
  • DOI: https://doi.org/10.1090/S0002-9939-04-07433-7
  • MathSciNet review: 2051115