An Involution Proof of the Alladi-Gordon Key Identity for Schur's Partition Theorem

Electronic Journal Of Combinatorics

James J.Y. Zhao¹ 

关键词: the Alladi-Gordon key identity;    Joichi-Stanton';    s insertion algorithm;    Schur';    s celebrated partition theorem;    overpartitions;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

The Alladi-Gordon identity $\sum_{k=0}^{j}(q^{i-k+1};q)_k\, {j \brack k} q^{(i-k)(j-k)}=1$ plays an important role for the Alladi-Gordon generalization of Schur's partition theorem. By using Joichi-Stanton's insertion algorithm, we present an overpartitio

【 授权许可】

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