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 |
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Pages (from-to) | 301-313 |
Number of pages | 13 |
Journal | Journal of Number Theory |
Volume | 122 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2007 Feb |
Externally published | Yes |
Keywords
- 11F11
- 11F33
- Congruences
- Modular form
- Newform
- Non-p-ordinary
ASJC Scopus subject areas
- Algebra and Number Theory