Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2012; 49(6): 1349-1357

Printed November 30, 2012

https://doi.org/10.4134/BKMS.2012.49.6.1349

Copyright © The Korean Mathematical Society.

On Fourier coefficients of some meromorphic modular forms

Yutaro Honda and Masanobu Kaneko

Nishitenma Kita-Ku, Kyushu University

Abstract

We prove a congruence modulo a prime of Fourier coefficients of several meromorphic modular forms of low weights. We prove the result by establishing a generalization of a theorem of Garthwaite.

Keywords: meromorphic modular form, congruence of Fourier coefficients, congruence subgroup

MSC numbers: 11F30, 11F33

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