Results 31 to 40 of about 686 (63)
, 2012 We investigate sums of Euler type, in particular the summation, in closed form, of the product of Harmonic numbers of order two and the square of reciprocal binomial coefficients. 2000 Mathematics Subject Classification: 05A10; 11B65; 11M06; 33B15; 33D60;
A. Sofo
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Proofs of some binomial identities using the method of last squares [PDF]
, 2010 We give combinatorial proofs for some identities involving binomial sums that have no closed form.Comment: 8 pages, 16 ...
Shattuck, Mark, Waldhauser, Tamás
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Some binomial sums involving absolute values [PDF]
, 2015 We consider several families of binomial sum identities whose definition involves the absolute value function. In particular, we consider centered double sums of the form \[S_{\alpha,\beta}(n) := \sum_{k,\;\ell}\binom{2n}{n+k}\binom{2n}{n+\ell} |k^\alpha-
Brent, Richard P. +3 more
core
ON SOME PARTITIONS WHERE EVEN PARTS DO NOT REPEAT
, 2009 We offer some new results on some partition functions in which even parts do not repeat. In particular, we show certain partition functions in this category are lacunary.
A. E. Patkowski
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On Zudilin's q-question about Schmidt's problem
, 2012 We propose an elemantary approach to Zudilin's q-question about Schmidt's problem [Electron. J. Combin. 11 (2004), #R22], which has been solved in a previous paper [Acta Arith. 127 (2007), 17--31].
Guo, Victor J. W., Zeng, Jiang
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An Ap\'ery-like difference equation for Catalan's constant
, 2002 Applying Zeilberger's algorithm of creative telescoping to a family of certain very-well-poised hypergeometric series involving linear forms in Catalan's constant with rational coefficients, we obtain a second-order difference equation for these forms ...
Zudilin, Wadim
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Some <i>q</i>-supercongruences modulo the square and cube of a cyclotomic polynomial. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2021 Guo VJW, Schlosser MJ.
europepmc +1 more source
Weighted cylindric partitions. [PDF]
J Algebr Comb (Dordr), 2022 Bridges W, Uncu AK.
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Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2020 Qi F, Huang CJ.
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