Proceedings of the American Mathematical Society

Author(s): Masataka Chida; Masanobu Kaneko
Journal: Proc. Amer. Math. Soc. 135 (2007), 1001-1005.
MSC (2000): Primary 11F33; Secondary 11F11
Posted: October 13, 2006
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 11F33, 11F11

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: 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
Posted: October 13, 2006
Additional Notes: The first author was supported in part by JSPS Research Fellowships for Young Scientists
Communicated by: Ken Ono
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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