Results 21 to 30 of about 174,940 (323)
On some series involving the binomial coefficients $binom{3n}{n}$ [PDF]
Notes on Number Theory and Discrete MathematicsUsing a simple transformation, we obtain much simpler forms for some series involving binomial coefficients $binom{3n}{n}$ derived by Necdet Batir. New evaluations are given and connections with Fibonacci numbers and the golden ratio are established ...
Kunle Adegoke +2 more
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A sum of binomial coefficients [PDF]
Mathematics of Computation, 1978 An explicit expression is derived for the sum of the ( k + 1 ) (k + 1) st binomial coefficients in the nth, ( n − m ) (n - m) th, ( n − 2 m ) (n - 2m) th,... row of the arithmetic triangle.
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Euler-type sums involving multiple harmonic sums and binomial coefficients
Open Mathematics, 2021 In this paper, we mainly show that generalized Euler-type sums of multiple harmonic sums with reciprocal binomial coefficients can be expressed in terms of rational linear combinations of products of classical multiple zeta values (MZVs) and multiple ...
Si Xin
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BayesX: Analysing Bayesian structured additive regression models [PDF]
, 2003 There has been much recent interest in Bayesian inference for generalized additive and related models. The increasing popularity of Bayesian methods for these and other model classes is mainly caused by the introduction of Markov chain Monte Carlo (MCMC)
Brezger, Andreas +2 more
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Divisibility of Fibonomial coefficients in terms of their digital representations and applications
AIMS Mathematics, 2022 We give a characterization for the integers $ n \geq 1 $ such that the Fibonomial coefficient $ {pn \choose n}_F $ is divisible by $ p $ for any prime $ p \neq 2, 5 $.
Phakhinkon Napp Phunphayap +1 more
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q-Analogue of a binomial coefficient congruence
International Journal of Mathematics and Mathematical Sciences, 1995 We establish a q-analogue of the congruence (papb)≡(ab) (modp2) where p is a prime and a and b are positive integers.
W. Edwin Clark
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Bisecting binomial coefficients
Discrete Applied Mathematics, 2017 In this paper, we deal with the problem of bisecting binomial coefficients. We find many (previously unknown) infinite classes of integers which admit nontrivial bisections, and a class with only trivial bisections. As a byproduct of this last construction, we show conjectures Q2 and Q4 of Cusick and Li.
Eugen J. Ionaşcu +2 more
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Count data models with variance of unknown form: an application to a hedonic model of worker absenteeism [PDF]
, 1997 We examine an econometric model of counts of worker absences due to illness in a sluggishly adjusting hedonic labor market. We compare three estimators that parameterize the conditional variance?least squares, Poisson, and negative binomial pseudo ...
Delgado, Miguel A., Kniefner, Thomas J.
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On Binomial Coefficient Residues [PDF]
Canadian Journal of Mathematics, 1957 The number of binomial coefficients , which are congruent to j , 0 ≤ j ≤ p − 1, modulo the prime number p is denoted by θj(n). In this paper we give systems of simultaneous linear difference equations with constant coefficients whose
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The effect of public funding on research output: the New Zealand Marsden Fund [PDF]
, 2015 The Marsden Fund is the premiere funding mechanism for blue skies research in New Zealand. In 2014, $56 million was awarded to 101 research projects chosen from among 1222 applications from researchers at universities, Crown Research Institutes and ...
Adam Jaffe +4 more
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