The Riemann Hypothesis For Period Polynomials Of Modular Forms

Seokho Jin, Wenjun Ma, Ken Ono +1

The period polynomial $r_f(z)$ for an even weight $k\ge 4$ newform $f\in S_k({\Gamma }_0(N))$ is the generating function for the critical values of $L(f,s)$. It has a functional equation…