Factors of alternating sums of products of binomial and q-binomial coefficients
Victor J. W. Guo, Frédéric Jouhet, Jiang Zeng (2007)
Acta Arithmetica
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Displaying similar documents to “On higher differences. Nota IV”
Factors of alternating sums of products of binomial and q-binomial coefficients
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Lajos Hajdu, Shanta Laishram, Szabolcs Tengely (2016)
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We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.
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Some Remarkable Identities Involving Numbers
Rafał Ziobro (2014)
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The article focuses on simple identities found for binomials, their divisibility, and basic inequalities. A general formula allowing factorization of the sum of like powers is introduced and used to prove elementary theorems for natural numbers. Formulas for short multiplication are sometimes referred in English or French as remarkable identities. The same formulas could be found in works concerning polynomial factorization, where there exists no single term for various identities. Their...