Bijective proofs of Gould's and Rothe's identities |
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| Authors: | Victor JW Guo |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China |
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| 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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| Keywords: | Rothe's identity Gould's identity Binary words Bijection |
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