Title
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 GÖllnitz, two of Andrews' generalizations of Schur's theorem, and the Andrews-Olsson identities.
Year
DOI
Venue
2006
10.1016/j.ejc.2005.01.005
Eur. J. Comb.
Keywords
Field
DocType
iterative-bijective approach,bijective proof,general theorem,important result,particular iteration,andrews-olsson identity
Schur algebra,Schur product theorem,Discrete mathematics,Combinatorics,Brouwer fixed-point theorem,Schur's theorem,Fundamental theorem,Mathematics,Schur polynomial,Schur's lemma,Carlson's theorem
Journal
Volume
Issue
ISSN
27
4
Europ. J. Combin. 27 (2006), 496-512
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Sylvie Corteel126636.33
Jeremy Lovejoy2287.09