Exact formulas for traces of singular moduli of higher level modular functions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Zagier proved that the traces of singular values of the classical j-invariant are the Fourier coefficients of a weight 3/2 modular form and Duke provided a new proof of the result by establishing an exact formula for the traces using Niebur's work on a certain class of non-holomorphic modular forms. In this short note, by utilizing Niebur's work again, we generalize Duke's result to exact formulas for traces of singular moduli of higher level modular functions.
8 pages

Keywords

Number Theory, 11F37; 11F03

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/123061

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701908
 http://arxiv.org/abs/math/0701908

Collections

arXiv