Let $\pi$ be a unitary cuspidal representation of $\mathrm{GL}_n(\mathbb{A})$.
Then I am wondering the possible location of poles and zeros of symmetric square $L$-function $L(s,\pi,\mathrm{Sym}^2)$ and exterior function $L(s,\pi,\bigwedge^2)$?
Question of pole and zeros of symmetric or exterior global $L$-function of $\mathrm{GL}_n(\mathbb{A})$
Andrew
- 1k
- 7
- 9