Bijective proofs of some classical partition identities
β Scribed by Jeffrey B Remmel
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 797 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
This paper highlights three known identities, each of which involves sums over alternating sign matrices. While proofs of all three are known, the only known derivations are as corollaries of difficult results. The simplicity and natural combinatorial interpretation of these identities, however, sug
We give bijective proofs of the Hook-Schur function analogues of two well-known identities of Littlewood. In the course of our proof, we propose a new correspondence which can be considered as a generalization of the Burge correspondences used in proving the Littlewood identities.
can be easily proved by either induction, Binet's formula, or ([1, p. 80]) by taking determinants in In this paper we give a bijective proof, based upon the following combinatorial interpretation of the Fibonacci numbers. Proposition. Let A(n) = {(al, β’ β’ β’ , at); r >I O, ai = 1 or 2, a I +''' + a~
3016): on page 290, the second paragraph ``We shall prove ... in R'' should read ``We shall prove ... in R, and the restriction of f on R is not a permutation of R.''. In the third paragraph, ``[r]'' should be read as ``R'' and ``[r+s]'' as ``R \_ [n+1, ..., n+s].''