Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2008; 23(4): 479-485

Printed December 1, 2008

Copyright © The Korean Mathematical Society.

Weierstrass points on $\Gamma_0(p)$ and its application

Dohoon Choi

Korea Aerospace University

Abstract

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In this note, we study arithmetic properties for the exponents of modular forms on $\Gamma_0(p)$ for primes $p$. Our aim is to refine the result of \cite{C-D} by using the geometric property of the modular curve of $\Gamma_0(p)$.

Keywords: modular forms, one variable, congruences for modular forms

MSC numbers: Primary 11F11; Secondary 11F33

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