Arithmetic of singular moduli and class polynomials
نویسندگان
چکیده
منابع مشابه
Arithmetic of singular moduli and class polynomials
We investigate divisibility properties of the traces and Hecke traces of singular moduli. In particular we prove that, if p is prime, these traces satisfy many congruences modulo powers of p which are described in terms of the factorization of p in imaginary quadratic fields. We also study generalizations of Lehner’s classical congruences j(z)|Up ≡ 744 (mod p) (where p 11 and j(z) is the usual ...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2005
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x04001198