The constant term algebra of type A: The structure

被引：0
作者：
Xin, Guoce [1 ]
Zhang, Chen [1 ]
Zhou, Yue [2 ]
Zhong, Yueming [3 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R China
[3] Hainan Univ, Sch Math & Stat, Haikou 570228, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2025年 / 465卷
基金：
中国国家自然科学基金;
关键词：
Constant term identities; Ordered increasing forests; Constant term algebra; SHORT PROOF; SELBERG; CONJECTURE; VOLUME;
D O I：
10.1016/j.aim.2025.110154
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discover a new noncommutative algebra. We refer this algebra as the constant term algebra of type A, which is generated by certain constant term operators. We characterize a structural result of this algebra by establishing an explicit basis in terms of certain forests. This algebra arises when we apply the method of the iterated Laurent series to investigate Beck and Pixton's residue computation for the Ehrhart series of the Birkhoff polytope. This algebra seems to be the first structural result in the area of the constant term world since the discovery of the Dyson constant term identity in 1962. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：40
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