Abstract | ||
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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 |
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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 |
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Sylvie Corteel | 1 | 266 | 36.33 |
Jeremy Lovejoy | 2 | 28 | 7.09 |