Subspaces spanned by eigenforms with nonvanishing twisted central $L$-values

Autor: Kayath, June, Lane, Connor, Neifeld, Ben, Ni, Tianyu, Xue, Hui
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we construct explicit spanning sets for two spaces. One is the subspace generated by integral-weight Hecke eigenforms with nonvanishing quadratic twisted central $L$-values. The other is a subspace generated by half-integral weight Hecke eigenforms with certain nonvanishing Fourier coefficients. Along the way, we show that these subspaces are isomorphic via the Shimura lift.
Comment: 38 pages
Databáze: arXiv