Hui Xu : Subspaces spanned by eigenforms with nonzero central L-values

Posted by Ramin Takloo-Bighash , part of the Number Theory Seminar.

At

Oct. 25, 2024, 9 a.m.

In

636 SEO

Abstract

In this talk, we discuss explicit spanning sets for two vector spaces. One is the subspace generated by integral-weight Hecke eigenforms with nonzero central L- values. The other is a subspace generated by half-integral weight Hecke eigenforms with nonvanishing first Fourier coefficients. We also show that these two spaces are isomorphic via the Shimura lift.