Weight-dependent congruence properties of modular forms

Dohoon Choi; Y. Choie

doi:10.1016/j.jnt.2006.05.008

Weight-dependent congruence properties of modular forms

Dohoon Choi, Y. Choie

Research output: Contribution to journal › Article

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
Pages (from-to)	301-313
Number of pages	13
Journal	Journal of Number Theory
Volume	122
Issue number	2
DOIs	https://doi.org/10.1016/j.jnt.2006.05.008
Publication status	Published - 2007 Feb 1
Externally published	Yes

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Keywords

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

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

Choi, D., & Choie, Y. (2007). Weight-dependent congruence properties of modular forms. Journal of Number Theory, 122(2), 301-313. https://doi.org/10.1016/j.jnt.2006.05.008

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10.1016/j.jnt.2006.05.008