Results 31 to 40 of about 100,499 (167)

Some congruences involving binomial coefficients

, 2015
Binomial coefficients and central trinomial coefficients play important roles in combinatorics. Let $p>3$ be a prime. We show that $$T_{p-1}\equiv\left(\frac p3\right)3^{p-1}\ \pmod{p^2},$$ where the central trinomial coefficient $T_n$ is the constant ...
Cao, Hui-Qin, Sun, Zhi-Wei
core   +1 more source

Harmonic Series of Convergence Ratio “1/4" with Cubic Central Binomial Coefficients

Axioms
We examine a useful hypergeometric transformation formula by means of the coefficient extraction method. A large class of “binomial/harmonic series” (of convergence ratio “1/4”) containing the cubic central binomial coefficients and harmonic numbers is ...
Chunli Li, Wenchang Chu
doaj   +1 more source

Long-range rapidity correlations between mean transverse momenta

EPJ Web of Conferences, 2017
The forward-backward correlation strength between event-mean transverse momenta of particles produced in separated rapidity intervals in high energy hadronic collisions is analyzed in the simple model with the string fusion on a transverse lattice.
Vechernin Vladimir
doaj   +1 more source

Descent sets on 321-avoiding involutions and hook decompositions of partitions

, 2014
We show that the distribution of the major index over the set of involutions in S_n that avoid the pattern 321 is given by the q-analogue of the n-th central binomial coefficient.
Barnabei, Marilena, Bonetti, Flavio, Elizalde, Sergi, Silimbani, Matteo   +3 more
core   +1 more source

Generating Functions for Binomial Series Involving Harmonic-like Numbers

Mathematics
By employing the coefficient extraction method, a class of binomial series involving harmonic numbers will be reviewed through three hypergeometric F12(y2)-series.
Chunli Li, Wenchang Chu
doaj   +1 more source

Short-term earthquake forecasting experiment before and during the L’Aquila (central Italy) seismic sequence of April 2009

Annals of Geophysics, 2015
In this paper, we compare the forecasting performance of several statistical models, which are used to describe the occurrence process of earthquakes in forecasting the short-term earthquake probabilities during the L’Aquila earthquake sequence in ...
Maura Murru, Jiancang Zhuang, Rodolfo Console, Giuseppe Falcone   +3 more
doaj   +1 more source

Estimating the stochastic uncertainty in sample-based estimates of infant mortality in Ghana [PDF]

, 2020
The Infant Mortality Rate (IMR) is an important population health statistic often used as one of the indicators of the health status of a nation. In many countries lacking adequate vital registration systems, sample methods are used to estimate IMRs ...
Baker, J, Kposowa, A, Swanson, DA
core  

Universal Gr\"obner Bases for Binary Linear Codes [PDF]

, 2013
Each linear code can be described by a code ideal given as the sum of a toric ideal and a non-prime ideal. In this way, several concepts from the theory of toric ideals can be translated into the setting of code ideals.
Dück, Natalia, Zimmermann, Karl-Heinz
core   +2 more sources

Odd Euler Sums and Harmonic Series with Cubic Central Binomial Coefficients in Denominators

Axioms
By means of the coefficient extraction method, we examine a transformation of a classical hypergeometric series. Three classes of infinite series (of convergence rate “1/4”) with harmonic numbers in numerators and cubic central binomial coefficients in ...
Chunli Li, Wenchang Chu
doaj   +1 more source

Divisibility of binomial coefficients by powers of two

, 2017
For nonnegative integers $j$ and $n$ let $\Theta(j,n)$ be the number of entries in the $n$-th row of Pascal's triangle that are not divisible by $2^{j+1}$. In this paper we prove that the family $j\mapsto\Theta(j,n)$ usually follows a normal distribution.
Spiegelhofer, Lukas, Wallner, Michael
core   +2 more sources