An iterative-bijective approach to generalizations of Schur's theorem

Abstract. We start with a bijective proof of Schur's theorem due to Alladi and Gordon and describe how a particular iteration of it leads to some very general theorems on colored partitions. These theorems imply a number of important results, including Schur's theorem, Bressoud's generalization of a theorem of G

• Type: Journal
• Year: 2006
• Where: EJC
• Authors: Sylvie Corteel, Jeremy Lovejoy
• Keywords: Bijective Proof, EJC 2006, EJC 2007, General Theorems, Particular Iteration