Generalization of Atkin’s Orthogonal Polynomials and Supersingular Elliptic Curves
نویسنده
چکیده
In a 1998 paper [2], Kaneko and Zagier explain unpublished work of Atkin which exhibits an infinite sequence of polynomials with the property that when suitable polynomials are reduced mod p for a prime p, one gets the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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