Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series

Yanze Chen

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arXiv · 2411.13143

Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series

Yanze Chen

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Abstract

We computed the first Whittaker coefficient of an Eisenstein series on a global metaplectic group induced from the torus and related the result with a Weyl group multiple Dirichlet series attached to the (dual) root system of the group under a mild assumption on the root system and the degree of the metaplectic cover. This confirms a conjecture of Brubaker-Bump-Friedberg.

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Yanze Chen. 2024-11-20. Eisenstein Series on Metaplectic Covers and Multiple Dirichlet Series. https://arxiv.org/abs/2411.13143

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