论文标题

$ gl(n,\ mathbb {a} _ \ mathbb {q})$ gl的Eisenstein系列的杆子中的一些组合学

Some Combinatorics in the Cancellation of Poles of Eisenstein Series for $GL(n,\mathbb{A}_\mathbb{Q})$

论文作者

Zhang, Zhuohui

论文摘要

Hanzer和Muić研究了堕落的爱森斯坦系列的取消。本文概括了艾森斯坦的方法和结果,该序列是由诱导两个SPEH表示$δ(τ,m)| \ cdot | \ cdot |^{s_1} \otimesΔ(τ,τ,n)| \ cdot |^cdot |^{s_2} $用于组的$ gl(m+n,\ n,\ nath,\ n,\ nath,\ nath,f n,\ nath,\ nath,\ nath,通过描述相关的Weyl组coset的组合作用,cuspidal自动形态表示$τ$。

The cancellations of poles of degenerate Eisenstein series were studied by Hanzer and Muić. This paper generalizes the method and the result to Eisenstein series constructed from inducing two Speh representations $Δ(τ,m)|\cdot|^{s_1}\otimesΔ(τ,n)|\cdot|^{s_2}$ for the group $GL(m+n,\mathbb{A}_\mathbb{Q})$ for self-dual cuspidal automorphic representation $τ$ by describing the combinatorics of the relevant Weyl group coset.

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