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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A. Sárközy (2005)
Acta Arithmetica
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Products and sums of absolute proper retracts
R. B. Sher (1975)
Colloquium Mathematicae
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Power values of sums of products of consecutive integers
Lajos Hajdu, Shanta Laishram, Szabolcs Tengely (2016)
Acta Arithmetica
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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.
Generalized convolution identities for Stirling numbers of the second kind.
Agoh, Takashi, Dilcher, Karl (2008)
Integers
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Some explicit constructions of sets with more sums than differences
Peter V. Hegarty (2007)
Acta Arithmetica
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Evaluation of triple Euler sums.
Borwein, Jonathan M., Girgensohn, Roland (1996)
The Electronic Journal of Combinatorics [electronic only]
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Generalized reciprocity laws for sums of harmonic numbers.
Kuba, Markus, Prodinger, Helmut, Schneider, Carsten (2008)
Integers
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An observation on the extension of Abel's lemma.
Patkowski, Alexander E. (2010)
Integers
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On sums of squares of Pell-Lucas numbers.
Čerin, Zvonko, Gianella, Gian Mario (2006)
Integers
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A new class of infinite products, and Euler's totient.
Campbell, Geoffrey B. (1994)
International Journal of Mathematics and Mathematical Sciences
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Evaluations of -fold Euler/Zagier sums: a compendium of results for arbitrary .
Borwein, J.M., Bradley, D.M., Broadhurst, D.J. (1997)
The Electronic Journal of Combinatorics [electronic only]
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The summation package Sigma: underlying principles and a rhombus tiling application.
Schneider, Carsten (2004)
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Some Remarkable Identities Involving Numbers
Rafał Ziobro (2014)
Formalized Mathematics
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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...