# Weight-dependent congruence properties of modular forms

Dohoon Choi, Y. Choie

Research output: Contribution to journalArticle

1 Citation (Scopus)

### Abstract

In this paper, we study congruence properties of modular forms in various ways. By proving a weight-dependent congruence property of modular forms, we give some sufficient conditions, in terms of the weights of modular forms, for a modular form to be non-p-ordinary. As applications of our main theorem we derive a linear relation among coefficients of new forms. Furthermore, congruence relations among special values of Dedekind zeta functions of real quadratic fields are derived.

Original language English 301-313 13 Journal of Number Theory 122 2 https://doi.org/10.1016/j.jnt.2006.05.008 Published - 2007 Feb 1 Yes

### Fingerprint

Modular Forms
Congruence
Dependent
Dedekind zeta Function
Congruence Relation
Linear Relation
Sufficient Conditions
Coefficient
Theorem

### Keywords

• 11F11
• 11F33
• Congruences
• Modular form
• Newform
• Non-p-ordinary

### ASJC Scopus subject areas

• Algebra and Number Theory

### Cite this

In: Journal of Number Theory, Vol. 122, No. 2, 01.02.2007, p. 301-313.

Research output: Contribution to journalArticle

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