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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On $U(p)$-congruences
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by P. Guerzhoy
Proc. Amer. Math. Soc. 135 (2007), 2743-2746
DOI: https://doi.org/10.1090/S0002-9939-07-08816-8
Published electronically: May 8, 2007
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Abstract:

The phenomenon of $U(p)$-congruences was recently studied by Ahlgren and Ono (2005) and by Elkies, Ono and Yang (2005). We provide a necessary and sufficient condition which improves their general results.
References
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  • H. P. F. Swinnerton-Dyer, On $l$-adic representations and congruences for coefficients of modular forms, Modular functions of one variable, III (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972) Lecture Notes in Math., Vol. 350, Springer, Berlin, 1973, pp. 1–55. MR 0406931
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Bibliographic Information
  • P. Guerzhoy
  • Affiliation: Department of Mathematics, University of Hawaii at Manoa, 2565 McCarthy Mall, Honolulu, Hawaii 96822-2273
  • Email: p.guerzhoy@gmail.com
  • Received by editor(s): May 2, 2006
  • Received by editor(s) in revised form: June 6, 2006
  • Published electronically: May 8, 2007
  • Additional Notes: The research of this author was supported by NSF grant DMS-0501225
  • Communicated by: Ken Ono
  • © Copyright 2007 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 2743-2746
  • MSC (2000): Primary 11F33
  • DOI: https://doi.org/10.1090/S0002-9939-07-08816-8
  • MathSciNet review: 2317947