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Weight-dependent congruence properties of modular forms

โœ Scribed by D. Choi; Y. Choie

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
159 KB
Volume
122
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

In this paper, we study congruence properties of modular forms in various ways. By proving a weightdependent 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.

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