Weight-dependent congruence properties of modular forms
SCIE
SCOPUS
- Title
- Weight-dependent congruence properties of modular forms
- Authors
- Choi, D; Choie, Y
- Date Issued
- 2007-02
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- 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. (c) 2006 Elsevier Inc. All rights reserved.
- Keywords
- modular form; congruences; non-p-ordinary; newform; CUSP FORMS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/23551
- DOI
- 10.1016/J.JNT.2006.05.008
- ISSN
- 0022-314X
- Article Type
- Article
- Citation
- JOURNAL OF NUMBER THEORY, vol. 122, no. 2, page. 301 - 313, 2007-02
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