English

Some congruences for traces of singular moduli

Number Theory 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0506559,
  title  = {Some congruences for traces of singular moduli},
  author = {Pavel Guerzhoy},
  journal= {arXiv preprint arXiv:math/0506559},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T17:21:15.991Z