GENERALIZATION OF ATKIN'S ORTHOGONAL POLYNOMIALS AND SUPERSINGULAR ELLIPTIC CURVES

被引：0
|
作者：
Tran, Ying-Ying [1 ]
机构：
[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 04期
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a 1998 paper, Kaneko and Zagier explain unpublished work of Atkin which exhibits an infinite sequence of polynomials with the property that when suitable polynomials are reduced mod p for a prime p, one gets the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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页码：1135 / 1141
页数：7
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