Twisted Hecke L-values and period polynomials

Shinji Fukuhara, Yifan Yang

Let $f_1,...,f_d$ be an orthogonal basis for the space of cusp forms of even weight $2k$ on ${\Gamma }_0(N)$. Let $L(f_i,s)$ and $L(f_i,\chi ,s)$ denote the $L$-function of $f_i$ and its twist…