Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2009; 24(2): 181-185

Printed June 1, 2009

https://doi.org/10.4134/CKMS.2009.24.2.181

Copyright © The Korean Mathematical Society.

Congruence properties of a Drinfeld modular function $\mu$

SoYoung Choi

Dongguk University

Abstract

The Drinfeld modular function $\mu$ is a generator of the function field of the Drinfeld modular curve $X_0(T)$ and has an $t$-expansion with the integral coefficients at infinity. In this paper, we show that the coefficients of $\mu$ has congruence properties modulo powers of $T$.

Keywords: Drinfeld modular form, congruence

MSC numbers: 11F52