On ordinary primes for modular forms and the theta operator
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- by Masataka Chida and Masanobu Kaneko
- Proc. Amer. Math. Soc. 135 (2007), 1001-1005
- DOI: https://doi.org/10.1090/S0002-9939-06-08561-3
- Published electronically: 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.References
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Bibliographic 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
- 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
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 1001-1005
- MSC (2000): Primary 11F33; Secondary 11F11
- DOI: https://doi.org/10.1090/S0002-9939-06-08561-3
- MathSciNet review: 2262900