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arXiv · 2608.12722

Finite-Sum Realization of Archimedean Asai and Exterior-Square $L$-Factors

Yeongseong Jo·Akash Yadav
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Abstract

We prove that the archimedean Asai $L$-factor attached to an irreducible generic representation of $\operatorname{GL}_n(\mathbb{C})$ can be expressed as a finite sum of Flicker local zeta integrals. For an archimedean local field $F$, we also prove that the exterior-square $L$-factor attached to an irreducible generic representation of $\operatorname{GL}_m(F)$ can be expressed as a finite sum of Jacquet--Shalika local zeta integrals.

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Yeongseong Jo, Akash Yadav. 2026-08-13. Finite-Sum Realization of Archimedean Asai and Exterior-Square $L$-Factors. https://arxiv.org/abs/2608.12722

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