Results 81 to 90 of about 47,314 (210)
Fungsi Zeta Riemann Genap Menggunakan Bilangan Bernoulli
In this article, we study about the value of Riemann Zeta Function for even numbers using Bernoulli number. First, we give some basic theory about Bernoulli number and Riemann Zeta function.
Ikhsan Maulidi +2 more
doaj +1 more source
q-Ehrhart polynomials of Gorenstein polytopes, Bernoulli umbra and related Dirichlet series [PDF]
This article considers some q-analogues of classical results concerning the Ehrhart polynomials of Gorenstein polytopes, namely properties of their q-Ehrhart polynomial with respect to a good linear form.
Chapoton, Frédéric, Essouabri, Driss
core +2 more sources
Uniform and Bernoulli measures on the boundary of trace monoids
Trace monoids and heaps of pieces appear in various contexts in combinatorics. They also constitute a model used in computer science to describe the executions of asynchronous systems.
Abbes, Samy, Mairesse, Jean
core +3 more sources
Markov Determinantal Point Process for Dynamic Random Sets
ABSTRACT The Law of Determinantal Point Process (LDPP) is a flexible parametric family of distributions over random sets defined on a finite state space, or equivalently over multivariate binary variables. The aim of this paper is to introduce Markov processes of random sets within the LDPP framework. We show that, when the pairwise distribution of two
Christian Gouriéroux, Yang Lu
wiley +1 more source
The Zagier modification of Bernoulli numbers and a polynomial extension. Part I [PDF]
The modified B_{n}^{*} = \sum_{r=0}^{n} \binom{n+r}{2r} \frac{B_{r}}{n+r}, \quad n > 0 introduced by D. Zagier in 1998 are extended to the polynomial case by replacing $B_{r}$ by the Bernoulli polynomials $B_{r}(x)$.
Dixit, Atul +2 more
core
Congruences concerning Bernoulli numbers and Bernoulli polynomials
Let \(B_n(x)\), resp. \(B_n\), denote the classical Bernoulli polynomial, resp. number. In the paper under review the author proves some generalizations of Kummer's congruence by determining \[ \frac{B_{k(p-1)+b}(x)}{(k(p-1)+b)}\pmod{p^n} \] where \(p\) is an odd prime, \(x\) a \(p\)-integral rational number and \(p-1\nmid b\), while Kummer considered ...
openaire +1 more source
Abstract Protracted armed conflicts increasingly drive long‐term displacement, yet demographic frameworks often treat forced migration from conflict settings as a response to acute, singular events. This study introduces a typology of displacement grounded in the tempo and form of conflict‐related insecurities—anticipatory, chronic, and imminent—and ...
Stephanie M. Koning +2 more
wiley +1 more source
The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
doaj
Abundance and occupancy provide complementary but non‐equivalent signals of threatened species change. Here, their relationship was nonlinear and responses to environmental change were context dependent, showing that no single metric captures all population responses and that combining both can better inform conservation action under global change ...
Tim S. Jessop +7 more
wiley +1 more source
New Convolution Identities for Hypergeometric Bernoulli Polynomials
New convolution identities of hypergeometric Bernoulli polynomials are presented. Two different approaches to proving these identities are discussed, corresponding to the two equivalent definitions of hypergeometric Bernoulli polynomials as Appell ...
Cheong, Long G., Nguyen, Hieu D.
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