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On proofs of
certain combinatorial identities
Ryan Bianconi, Marcus Elia, Akalu Tefera and Aklilu Zeleke
Vol. 14 (2021), No. 4, 697–702
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Abstract |
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We present combinatorial and computer-assisted proofs of identities that involve powers and products of binomial coefficients. A byproduct of our main result gives an alternate proof of Problem 11844 that appeared in the May 2015 issue of the American Mathematical Monthly. |
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Keywords
combinatorial identities, Gosper algorithm, Wilf–Zeilberger
algorithm
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Mathematical Subject Classification
Primary: 05A19
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Milestones
Received: 4 January 2021
Accepted: 28 April 2021
Published: 23 October 2021
Communicated by Arthur T. Benjamin
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Authors |
| Ryan Bianconi | |
| Department of Mathematics The University of Iowa Iowa City, IA United States |
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| Marcus Elia | |
| Department of Mathematics The University of Vermont Burlington, VT United States |
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| Akalu Tefera | |
| Department of Mathematics Grand Valley State University Allendale, MI United States |
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| Aklilu Zeleke | |
| Lyman Briggs College and Department
of Statistics and Probability Michigan State University East Lansing, MI United States |
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