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Generalization of Atkin's orthogonal polynomials and supersingular elliptic curves
Author:
Ying-Ying Tran
Journal:
Proc. Amer. Math. Soc. 141 (2013), 1135-1141
MSC (2010):
Primary 14H52, 11F33
Posted:
August 20, 2012
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Additional Information
Abstract: In a 1998 paper, Kaneko and Zagier explain unpublished work of Atkin which exhibits an infinite sequence of polynomials with the property that when suitable polynomials are reduced mod  for a prime  , one gets the locus of supersingular elliptic curves. Here we generalize this phenomenon by considering the continued fraction expansions of modular and quasimodular forms.
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Additional Information
Ying-Ying Tran
Affiliation:
Department of Mathematics, Malott Hall, Cornell University, Ithaca, New York 14853-4201
Email:
yytran@math.cornell.edu
DOI:
http://dx.doi.org/10.1090/S0002-9939-2012-11433-9
PII:
S 0002-9939(2012)11433-9
Received by editor(s):
July 22, 2010
Received by editor(s) in revised form:
August 9, 2011
Posted:
August 20, 2012
Communicated by:
Matthew A. Papanikolas
Article copyright:
© Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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