Ask a Question

Prefer a chat interface with context about you and your work?

Non-vanishing of symmetric square $L$-functions

Non-vanishing of symmetric square $L$-functions

Given a complex number $s$ with $0<\Re e s<1$, we study the existence of a cusp form of large even weight for the full modular group such that its associated symmetric square $L$-function $L(\operatorname {sym}^2f,s)$ does not vanish. This problem is also considered in other articles.