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