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 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
Weight-dependent congruence properties of modular forms. / Choi, Dohoon; Choie, Y.
In: Journal of Number Theory, Vol. 122, No. 2, 01.02.2007, p. 301-313.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Weight-dependent congruence properties of modular forms
AU - Choi, Dohoon
AU - Choie, Y.
PY - 2007/2/1
Y1 - 2007/2/1
N2 - 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.
AB - 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.
KW - 11F11
KW - 11F33
KW - Congruences
KW - Modular form
KW - Newform
KW - Non-p-ordinary
UR - http://www.scopus.com/inward/record.url?scp=68649126062&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=68649126062&partnerID=8YFLogxK
U2 - 10.1016/j.jnt.2006.05.008
DO - 10.1016/j.jnt.2006.05.008
M3 - Article
AN - SCOPUS:68649126062
VL - 122
SP - 301
EP - 313
JO - Journal of Number Theory
JF - Journal of Number Theory
SN - 0022-314X
IS - 2
ER -