Number Theory Seminar
Alexandru Popa
College of Holy Cross
Rational decomposition of modular forms
Abstract: In a 1984 paper, Kohnen and Zagier developed the theory of modular
forms with rational periods for the full modular group. I recall some
of this theory, and present a new result decomposing an arbitrary cusp
form into forms with rational even (or odd) periods. As a consequence,
I discuss a decomposition of Hecke eigenforms in terms of forms with
rational Fourier coefficients, given by Rankin-Cohen brackets of
Eisenstein series.
Wednesday March 4, 2009 at 4:00 PM in SEO 427