Bijective Proofs of Gould's and Rothe's Identities
classification
🧮 math.CO
keywords
gouldidentitybijectiverothebijectionbinarychu-vandermondededuce
read the original abstract
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 also leads to a double-sum extension of the $q$-Chu-Vandermonde formula.
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