A bijection related to Bressoud's conjecture
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 a new companion to the G\"ollnitz-Gordon identities.
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