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Equidistribution of Hecke points on the supersingular module


Author: Ricardo Menares
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
Published electronically: December 29, 2011
MathSciNet review: 2910756
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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 [Enhancements On Off] (What's this?)

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Additional Information

Ricardo Menares
Affiliation: Facultad de Matematicas, Pontificia Universidad Católica de Chile, Avda. Vicuña Mackenna 4860, Santiago, Chile
Email: remenares@mat.puc.cl

DOI: https://doi.org/10.1090/S0002-9939-2011-11148-1
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
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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