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Keyword

binomial sums

Description: Binomial sums are finite sums whose terms involve binomial coefficients, studied in combinatorics, number theory, and symbolic computation.
OpenAlex ID: keywords/binomial-sums
A = B
1996 · Marko Petkovsek, Herbert S Wilf, et al. · A K Peters/CRC Press eBooks · 346
Integral Representation and the Computation of Combinatorial Sums
1984 · G. Egorychev · Translations of mathematical monographs · 211
Combinatorial Identities
1969 · Y. L. L., John Riordan · Mathematics of Computation · 143
Expansion around half-integer values, binomial sums, and inverse binomial sums
2004 · Stefan Weinzierl · Journal of Mathematical Physics · 127
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Another congruence for the Apéry numbers
1987 · F. Beukers · Journal of Number Theory · 116
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Generators of some Ramanujan formulas
2006 · Jesús Guillera · The Ramanujan Journal · 108
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Singularity analysis and asymptotics of Bernoulli sums
1999 · Philippe Flajolet · Theoretical Computer Science · 100
New congruences for central binomial coefficients
2010 · Zhi-Wei Sun, Roberto Tauraso · Advances in Applied Mathematics · 91
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Sums of Powers of Integers
1996 · A. F. Beardon · American Mathematical Monthly · 85
Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction
2014 · C Schneider · Journal of Physics Conference Series · 81
Combinatorial sums and finite differences
2007 · Michael Z. Spivey · Discrete Mathematics · 80
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On congruences related to central binomial coefficients
2011 · Zhi-Wei Sun · Journal of Number Theory · 76
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Some congruences for the Apery numbers
1985 · F Beukers · Journal of Number Theory · 76
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Generalized Legendre polynomials and related supercongruences
2014 · Zhi-Hong Sun · Journal of Number Theory · 72
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Congruences concerning Legendre polynomials II
2013 · Zhi-Hong Sun · Journal of Number Theory · 71
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A p-adic analogue of a formula of Ramanujan
2008 · Dermot McCarthy, Robert Osburn · Archiv der Mathematik · 70
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On sums of Apéry polynomials and related congruences
2012 · Zhi-Wei Sun · Journal of Number Theory · 69
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Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers
2013 · Ablinger, J, Blümlein, J, et al. · 61
Some Identities in Combinatorial Analysis
1961 · B. GORDON · The Quarterly Journal of Mathematics · 58
Discovering and Proving Infinite Binomial Sums Identities
2016 · Jakob Ablinger · Experimental Mathematics · 55
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Binomial Coefficients, Catalan Numbers and Lucas Quotients
2010 · Zhi-wei Sun · 54
Some congruences involving fourth powers of central q-binomial coefficients
2019 · Victor J. W. Guo, Su-Dan Wang · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 49
Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers
2014 · J Ablinger, J Blümlein, et al. · Journal of Physics Conference Series · 49
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Integral forms of sums associated with harmonic numbers
2008 · Anthony Sofo · Applied Mathematics and Computation · 47
Congruence properties of apèry numbers
1980 · S Chowla, J Cowles, et al. · Journal of Number Theory · 44
Works count: 998
Citation count: 5,107
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