Holomorphy of Adjoint L-functions for $GL(n):$ $n\leq 4$

preprint2020arXivOpen access

We show entireness of complete adjoint L-functions associated to \textbf{any} cuspidal representations of $\GL(3)$ or $\GL(4)$ over an arbitrary global field. Twisted cases are also investigated.

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Holomorphy of Adjoint L-functions for $GL(n):$ $n\leq 4$

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Holomorphy of Adjoint L-functions for GL(n):GL(n):GL(n): n≤4n\leq 4n≤4

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Holomorphy of Adjoint L-functions for $GL(n):$ $n\leq 4$