Simultaneous nonvanishing of the Products of L-functions associated to elliptic cusp forms

YoungJu Choie, Winfried Kohnen, Yichao Zhang

A generalized Riemann hypothesis states that all zeros of the completed Hecke $L$-function $L^{\ast }(f,s)$ of a normalized Hecke eigenform $f$ on the full modular group should lie on th…