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The fourier coefficients of a metaplectic eisenstein distribution on the double cover of SL(3) over Q
Journal of Number Theory ( IF 0.6 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.jnt.2020.01.011
Edmund Karasiewicz

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] .

中文翻译:

SL(3) 在 Q 上的双覆盖上的 metaplectic eisenstein 分布的傅立叶系数

摘要 我们计算了 Q 上 SL(3) 的双覆盖上的最小抛物线 Eisenstein 分布的傅立叶系数。该论文的两个关键方面是常数项的明确公式,以及分枝位置 p = 2 处的傅立叶系数的公式。此外,该爱森斯坦分布的未分枝非退化傅立叶系数符合 Brubaker-Bump-Friedberg-Hoffstein [3] 提供的组合描述。
更新日期:2020-10-01
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