Number Theory Seminar: October 21, 2024
Location: 12 p.m. in Buttrick Hall, room 206
Speaker: Hui Xue (Clemson University)
Title: Subspaces spanned by eigenforms with nonzero central L-values
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.