Results 41 to 50 of about 100,499 (167)
Distribution Pattern of Coffee Berry Borer (Hypothenemus Hampei) on Arabica and Robusta Coffee
Coffee and Cocoa Research Journal, 2014 Coffee berry borer [CBB, Hypothenemus hampei (Ferr.)] is the main pest on coffee causing a significant losses. Distribution pattern of the pest is not known deeply until now, especially in Indonesia.
Soekadar Wiryadiputra
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p-adic valuations of some sums of multinomial coefficients
, 2011 Let $m$ and $n>0$ be integers. Suppose that $p$ is a prime dividing $m-4$ but not dividing $m$. We show that $\nu_p(\sum_{k=0}^{n-1}\frac{\binom{2k}k}{m^k})$ and $\nu_p(\sum_{k=0}^{n-1}\binom{n-1}{k}(-1)^k\frac{\binom{2k}k}{m^k})$ are at least $\nu_p(n)$,
Sun, Zhi-Wei
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Congruences for central binomial sums and finite polylogarithms [PDF]
, 2011 We prove congruences, modulo a power of a prime p, for certain finite sums involving central binomial coefficients $\binom{2k}{k}$
Mattarei, Sandro, Tauraso, Roberto
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Mixed Parity Variants of Apéry-Type Binomial Series and Level Four Colored Multiple Zeta Values
MathematicsIn this paper, we study an Apéry-type series involving the central binomial coefficients ∑n1>…>nd>014n12n1n1n1−s1…nd−sd and its variations where the summation indices may have mixed parities and some or all “>” are replaced by “≥”, as long as the series ...
Ce Xu, Jianqiang Zhao
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More congruences for central binomial coefficients
Journal of Number Theory, 2010 Let \(p>5\) be a prime number. The author proves that \[ \sum_{k=1}^{p-1}\frac{1}{k^2}\binom{2k}{k}^{-1}\equiv\frac13 \frac{H(1)}{p}\pmod {p^3} \] and that \[ \sum_{k=1}^{p-1}\frac{(-1)^k}{k^3}\binom{2k}{k}^{-1}\equiv-\frac25 \frac{H(1)}{p^2}\pmod {p^3}, \] where \(H(1)=\sum_{k=1}^{p-1}\frac{1}{k}\).
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Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]
, 2014 In 1878 \'E. Lucas proved a remarkable result which provides a simple way to compute the binomial coefficient ${n\choose m}$ modulo a prime $p$ in terms of the binomial coefficients of the base-$p$ digits of $n$ and $m$: {\it If $p$ is a prime, $n=n_0 ...
Meštrović, Romeo
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Polynomial Triangles Revisited [PDF]
, 2012 A polynomial triangle is an array whose inputs are the coefficients in integral powers of a polynomial. Although polynomial coefficients have appeared in several works, there is no systematic treatise on this topic. In this paper we plan to fill this gap.
Mohammedia Morocco, Nour-eddine Fahssi
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Energy Exploration & Exploitation, 2017 The inter-salt argillaceous dolomite reservoirs in the central region of China contain large abundance of oil resources with ultra-low permeability and porosity.
Dan Wu +5 more
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The p-adic valuation of k-central binomial coefficients [PDF]
Acta Arithmetica, 2009 11 ...
Straub, Armin +2 more
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