p-ADIC PROPERTIES FOR TRACES OF SINGULAR MODULI

Author:

JENKINS PAUL1

Affiliation:

1. Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706, USA

Abstract

We examine the p-adic properties of Zagier's traces Tr (d) of the singular moduli of discriminant -d. In a recent preprint, Edixhoven proved that if p is prime and [Formula: see text], then [Formula: see text] We compute an exact formula for Tr (p2nd) which immediately gives Edixhoven's result as a corollary.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Reference3 articles.

1. Arithmetic of singular moduli and class polynomials

2. CBMS Regional Conference Series;Ono K.,2004

3. D. Zagier, Motives, Polylogarithms and Hodge Theory, Part I. International Press Lecture Series, eds. F. Bogomolov and L. Katzarkov (International Press, 2002) pp. 211–244.

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