$GL(n,\mathbb{A}_\mathbb{Q})$的Eisenstein级数极点相消中的一些组合学
Some Combinatorics in the Cancellation of Poles of Eisenstein Series for $GL(n,\mathbb{A}_\mathbb{Q})$
AI总结：
本文通过描述相关Weyl群陪集的组合学，将退化Eisenstein级数的极点相消方法与结果推广至由两个Speh表示诱导构造的Eisenstein级数。
摘要：
Hanzer和Muić研究了退化Eisenstein级数的极点相消。本文通过描述相关Weyl群陪集的组合学，将方法和结果推广到由诱导两个Speh表示$Δ(τ,m)|\cdot|^{s_1}\otimesΔ(τ,n)|\cdot|^{s_2}$为群$GL(m+n,\mathbb{A}_\mathbb{Q})$构造的Eisenstein级数，其中$τ$为自对偶尖点自守表示。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
