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 | |
| Publication status | Published - 2007 Feb |
Keywords
- 11F11
- 11F33
- Congruences
- Modular form
- Newform
- Non-p-ordinary
ASJC Scopus subject areas
- Algebra and Number Theory
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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