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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

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
Posted: December 29, 2011
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Abstract | References | Similar Articles | Additional Information

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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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: http://dx.doi.org/10.1090/S0002-9939-2011-11148-1
PII: S 0002-9939(2011)11148-1
Received by editor(s): January 27, 2011
Received by editor(s) in revised form: March 18, 2011
Posted: December 29, 2011
Communicated by: Matthew A. Papanikolas
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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