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arXiv · 2410.22525

The Twisted Doubling Method in Algebraic Families

Johannes Girsch
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Abstract

We define the twisted doubling zeta integrals of Cai-Friedberg-Ginzburg-Kaplan in the setting of algebraic families. We then prove a rationality result and a functional equation for these zeta integrals. This allows us to define an unnormalized $\gamma$-factor associated to certain families of representation of a classical group times a general linear group.

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Johannes Girsch. 2024-10-29. The Twisted Doubling Method in Algebraic Families. https://arxiv.org/abs/2410.22525

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