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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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On ordinary primes for modular forms and the theta operator
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by Masataka Chida and Masanobu Kaneko PDF
Proc. Amer. Math. Soc. 135 (2007), 1001-1005 Request permission

Abstract:

We give a criterion for a prime being ordinary for a modular form, by using the theta operator of Ramanujan.
References
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Additional Information
  • Masataka Chida
  • Affiliation: Institute of Mathematics, Tohoku University, Aoba, Sendai, 980-8578, Japan
  • Email: sa2m22@math.tohoku.ac.jp
  • Masanobu Kaneko
  • Affiliation: Faculty of Mathematics, Kyushu University 33, Fukuoka, 812-8581, Japan
  • Email: mkaneko@math.kyushu-u.ac.jp
  • Received by editor(s): October 13, 2005
  • Received by editor(s) in revised form: November 15, 2005
  • Published electronically: October 13, 2006
  • Additional Notes: The first author was supported in part by JSPS Research Fellowships for Young Scientists
  • Communicated by: Ken Ono
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1001-1005
  • MSC (2000): Primary 11F33; Secondary 11F11
  • DOI: https://doi.org/10.1090/S0002-9939-06-08561-3
  • MathSciNet review: 2262900