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Let $\pi$ be a unitary cuspidal representation of $\mathrm{GL}_n(\mathbb{A})$.

It is written is some paper that using the results towards the generalized Ramanujan conjecture in the paper "On the generalized Ramanujan conjecture for GL"GL(n)" by Luo, Rudnick and SaranSarnak (https://www.researchgate.net/publication/247040108_On_the_generalized_Ramanujan_conjecture_for_GL), one can prove that $L(s,\pi,\mathrm{Sym}^2)$ and $L(s,\pi,\bigwedge^2)$ are nonzero for $Re(s) \ge 2$. But I don't know why it does.

I would appreciate if you let me know this point.

Let $\pi$ be a unitary cuspidal representation of $\mathrm{GL}_n(\mathbb{A})$.

It is written is some paper that using the results towards the generalized Ramanujan conjecture in the paper "On the generalized Ramanujan conjecture for GL" by Luo, Rudnick and Saran (https://www.researchgate.net/publication/247040108_On_the_generalized_Ramanujan_conjecture_for_GL), one can prove that $L(s,\pi,\mathrm{Sym}^2)$ and $L(s,\pi,\bigwedge^2)$ are nonzero for $Re(s) \ge 2$. But I don't know why it does.

I would appreciate if you let me know this point.

Let $\pi$ be a unitary cuspidal representation of $\mathrm{GL}_n(\mathbb{A})$.

It is written is some paper that using the results towards the generalized Ramanujan conjecture in the paper "On the generalized Ramanujan conjecture for GL(n)" by Luo, Rudnick and Sarnak (https://www.researchgate.net/publication/247040108_On_the_generalized_Ramanujan_conjecture_for_GL), one can prove that $L(s,\pi,\mathrm{Sym}^2)$ and $L(s,\pi,\bigwedge^2)$ are nonzero for $Re(s) \ge 2$. But I don't know why it does.

I would appreciate if you let me know this point.

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Andrew
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Let $\pi$ be a unitary cuspidal representation of $\mathrm{GL}_n(\mathbb{A})$.

Then I am wonderingIt is written is some paper that using the possible location of polesresults towards the generalized Ramanujan conjecture in the paper "On the generalized Ramanujan conjecture for GL" by Luo, Rudnick and zeros of symmetric square $L$-functionSaran (https://www.researchgate.net/publication/247040108_On_the_generalized_Ramanujan_conjecture_for_GL), one can prove that $L(s,\pi,\mathrm{Sym}^2)$ and exterior function $L(s,\pi,\bigwedge^2)$? are nonzero for $Re(s) \ge 2$. But I don't know why it does.

I would appreciate if you let me know this point.

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 $L(s,\pi,\bigwedge^2)$?

Let $\pi$ be a unitary cuspidal representation of $\mathrm{GL}_n(\mathbb{A})$.

It is written is some paper that using the results towards the generalized Ramanujan conjecture in the paper "On the generalized Ramanujan conjecture for GL" by Luo, Rudnick and Saran (https://www.researchgate.net/publication/247040108_On_the_generalized_Ramanujan_conjecture_for_GL), one can prove that $L(s,\pi,\mathrm{Sym}^2)$ and $L(s,\pi,\bigwedge^2)$ are nonzero for $Re(s) \ge 2$. But I don't know why it does.

I would appreciate if you let me know this point.

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YCor
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Question of pole and zeros of symmetric or exterior global $L$-function of $GL_n$\mathrm{GL}_n(\mathbb{A})$

Let $\pi$ be a unitary cuspidal representation of $GL_n(\mathbb{A})$$\mathrm{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)$$L(s,\pi,\mathrm{Sym}^2)$ and exterior function $L(s,\pi,\wedge^2)$$L(s,\pi,\bigwedge^2)$?

Question of pole and zeros of symmetric or exterior global $L$-function of $GL_n(\mathbb{A})$

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 $\mathrm{GL}_n(\mathbb{A})$

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 $L(s,\pi,\bigwedge^2)$?

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Andrew
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