11 search results - page 1 / 3 » A Bijective Proof of Borchardt's Identity |
COMBINATORICS
2004
13 years 4 months ago
2004
We prove Borchardt's identity det 1 xi - yj per 1 xi - yj = det 1 (xi - yj)2 by means of sign-reversing involutions.
EJC
2010
13 years 3 months ago
2010
The Rogers-Ramanujan Identities have many natural and significant generalizations. The generalization presented in this note was first studied by D. Bressoud, by considering the...
JCT
2010
13 years 3 months ago
2010
Combinatorial proofs are given for certain entries in Ramanujan’s lost notebook. Bijections of Sylvester, Franklin, Wright, and Yee are employed. A new bijection, involving the n...
COMBINATORICS
2000
13 years 4 months ago
2000
Short, bijective proofs of identities for multisets of `hook pairs' (arm-leg pairs) of the cells of certain diagrams are given. These hook pair identities were originally foun...
DM
2008
13 years 4 months ago
2008
We first give a bijective proof of Gould's identity in the model of binary words. Then we deduce Rothe's identity from Gould's identity again by a bijection, which a...