A bijective proof and generalization of Siladić's Theorem. (June 2020)

• Record Type: Journal Article
• Authors: Konan, Isaac
• Is Part Of: European journal of combinatorics. Volume 87(2020)
• Publication Date: 2020-06
• Subjects: Combinatorial analysis -- Periodicals; Analyse combinatoire -- Périodiques; Combinatorial analysis; Periodicals; Electronic journals; 511.6
• DOI: 10.1016/j.ejc.2020.103101
• Languages: English
• ISSNs: 0195-6698

Abstract

Abstract: In a recent paper, Dousse introduced a refinement of Siladić's theorem on partitions, where parts occur in two primary and three secondary colors. Her proof used the method of weighted words and q -difference equations. The purpose of this paper is to give a bijective proof of a generalization of Dousse's theorem from two primary colors to an arbitrary number of primary colors.