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

Edmund Karasiewicz

doi:10.1016/j.jnt.2020.01.011

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

Edmund Karasiewicz

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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].

Original language	English
Pages (from-to)	216-260
Number of pages	45
Journal	Journal of Number Theory
Volume	215
DOIs	https://doi.org/10.1016/j.jnt.2020.01.011
State	Published - 1 Oct 2020
Externally published	Yes

Keywords

Automorphic forms
Eisenstein series
Fourier coefficients
Metaplectic cover

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2020.01.011

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abstract = "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].",

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AB - 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].

KW - Automorphic forms

KW - Eisenstein series

KW - Fourier coefficients

KW - Metaplectic cover

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JF - Journal of Number Theory

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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