A bijection related to Bressoud's conjecture

2024/05/30 by Y. H. Chen, Chen, Y. H., Thomas Y. He +1
Medicine · #Pathogenesis and Treatment of Hiccups

paper · pdf · doi:10.48550/arxiv.2405.19918

Abstract

Bressoud introduced the partition function B(α₁,…,α_λ;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,…,α_λ;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 a new companion to the Göllnitz-Gordon identities.

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