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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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Equidistribution of Hecke points on the supersingular module
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by Ricardo Menares
Proc. Amer. Math. Soc. 140 (2012), 2687-2691
DOI: https://doi.org/10.1090/S0002-9939-2011-11148-1
Published electronically: December 29, 2011
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Abstract:

For a fixed prime $p$, we consider the (finite) set of supersingular elliptic curves over $\overline {\mathbb {F}}_p$. Hecke operators act on this set. We compute the asymptotic frequence with which a given supersingular elliptic curve visits another under this action.
References
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Bibliographic Information
  • Ricardo Menares
  • Affiliation: Facultad de Matematicas, Pontificia Universidad Católica de Chile, Avda. Vicuña Mackenna 4860, Santiago, Chile
  • Email: remenares@mat.puc.cl
  • Received by editor(s): January 27, 2011
  • Received by editor(s) in revised form: March 18, 2011
  • Published electronically: December 29, 2011
  • Communicated by: Matthew A. Papanikolas
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 2687-2691
  • MSC (2010): Primary 11F11, 14H52; Secondary 11F32
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11148-1
  • MathSciNet review: 2910756