|Location:||MSRI: Simons Auditorium|
Speaker: Kumar Murty
Title: The field of Fourier coefficients of a modular form
Abstract: For a normalized eigenform f of squarefree level and trivial character, we give effective bounds B(f)
so that for some prime p < B(f), the p-th Fourier coefficient generates the field generated by the Fourier coefficients of f.