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edited Mar 19, 2020 at 10:41

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Is an automorphic form of $\operatorname{GL}_{n}(\mathbb{A}_{\mathbb{Q}})$ determined by its L-function?

To an automorphic representation $\pi$ of $\operatorname{GL}_{n}(\mathbb{A}_{\mathbb{Q}})$ one can associate its L-function $s\mapsto L_{\pi}(s)$.

Is the map $\pi\mapsto L_{\pi}$ bijective?

nt.number-theory automorphic-forms l-functions

asked Mar 19, 2020 at 10:31

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