Year: 2026
Type: preprint
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 $π$.
Source: arXiv (Cornell University)
Author: Yadav, Akash
Institution: Ewha Womans University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214717288