MATH Seminar
| Title: The field of Fourier coefficients of a modular form |
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| Seminar: Algebra and Number Theory |
| Speaker: V. Kumar Murty of University of Toronto |
| Contact: R. Parimala, parimala@mathcs.emory.edu |
| Date: 2011-01-26 at 4:00PM |
| Venue: W306 |
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| Abstract: Let $f$ be a holomorphic cusp form of level $N$ which is a normalized Hecke eigenform. The Fourier coefficients of $f$ generate a number field. If $N$ is squarefree, we show that in fact, this field is generated by a single Fourier coefficient. The result is effective. |
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