Some congruences for traces of singular moduli

Details Some congruences for traces of singular moduli Some congruences for traces of singular moduli

2005-06-28

arxiv.org/abs/math/0506559v2

Mathematics

Number Theory

6 pages

Scientific paper

We address a question posed by Ono, prove a general result for powers of an arbitrary prime, and provide an explanation for the appearance of higher congruence moduli for certain small primes. One of our results coincides with a recent result of Edixhoven, and we hope that the comparison of the methods, which are entirely different, may reveal a connection between the p-adic geometry and the arithmetic of half-integral weight Hecke operators.

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