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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On ordinary primes for modular forms and the theta operator


Authors: Masataka Chida and Masanobu Kaneko
Journal: Proc. Amer. Math. Soc. 135 (2007), 1001-1005
MSC (2000): Primary 11F33; Secondary 11F11
Published electronically: October 13, 2006
MathSciNet review: 2262900
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Abstract: We give a criterion for a prime being ordinary for a modular form, by using the theta operator of Ramanujan.


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Additional Information

Masataka Chida
Affiliation: Institute of Mathematics, Tohoku University, Aoba, Sendai, 980-8578, Japan
Email: sa2m22@math.tohoku.ac.jp

Masanobu Kaneko
Affiliation: Faculty of Mathematics, Kyushu University 33, Fukuoka, 812-8581, Japan
Email: mkaneko@math.kyushu-u.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08561-3
PII: S 0002-9939(06)08561-3
Keywords: Ordinary prime, theta operator
Received by editor(s): October 13, 2005
Received by editor(s) in revised form: November 15, 2005
Published electronically: October 13, 2006
Additional Notes: The first author was supported in part by JSPS Research Fellowships for Young Scientists
Communicated by: Ken Ono
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.