A combinatorial proof of the Alladi-Gordon key identity for Schur's partition theorem

Autor:	Zhao, James J. Y.
Rok vydání:	2012
Předmět:	Mathematics - Combinatorics 05A17 05A19
Druh dokumentu:	Working Paper
Popis:	The Alladi-Gordon identity plays an important role for the Alladi-Gordon generalization of Schur's partition theorem. By using Joichi-Stanton's insertion algorithm, we present an overpartition interpretation for the Alladi-Gordon key identity. Based on this interpretation, we further obtain a combinatorial proof of the Alladi-Gordon key identity by establishing an involution on the underlying set of overpartitions. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1202.1219 Zobrazit plný text záznamu View this record from Arxiv