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arXiv · 2609.34165

Exceptional poles of archimedean Asai $L$-functions

Akash Yadav
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Abstract

Let $π$ be an irreducible generic representation of $\operatorname{GL}_n(\mathbb{C})$. We classify the exceptional poles of the associated Asai $L$-function $L(s,π,\mathrm{As})$ and give a representation-theoretic characterization of them. When $π$ is in general position, we further express $L(s,π,\mathrm{As})$ in terms of the exceptional $L$-factors attached to the irreducible constituents occurring in the derivatives of $π$.

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Akash Yadav. 2026-09-28. Exceptional poles of archimedean Asai $L$-functions. https://arxiv.org/abs/2609.34165

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