A bijection related to Bressoud's conjecture

IF 0.9 2区 数学 Q2 MATHEMATICS
Y.H. Chen, Thomas Y. He
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引用次数: 0

Abstract

Bressoud introduced the partition function B(α1,,αλ;η,k,r;n), which counts the number of partitions with certain difference conditions. Bressoud posed a conjecture on the generating function for the partition function B(α1,,αλ;η,k,r;n) in multi-summation form. In this article, we introduce a bijection related to Bressoud's conjecture. As an application, we give the proof of a companion to the Göllnitz-Gordon identities.
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来源期刊
CiteScore
2.90
自引率
9.10%
发文量
94
审稿时长
12 months
期刊介绍: The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.
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