The Fourier coefficients of a metaplectic Eisenstein distribution on the double cover of SL(3) over Q

JOURNAL OF NUMBER THEORY

卷:215

Article

Karasiewicz, Edmund¹ 

[1] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

关键词: Metaplectic cover;    Automorphic forms;    Eisenstein series;    Fourier coefficients;   

DOI  :  10.1016/j.jnt.2020.01.011

来源: Elsevier

【 摘 要 】

We compute the Fourier coefficients of a minimal parabolic Eisenstein distribution on the double cover of SL(3) over Q. Two key aspects of the paper are an explicit formula for the constant term, and formulas for the Fourier coefficients at the ramified place p = 2. Additionally, the unramified non-degenerate Fourier coefficients of this Eisenstein distribution fit into the combinatorial description provided by Brubaker-Bump-Friedberg-Hoffstein [3]. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free