Results 61 to 70 of about 36,426 (206)

On p -adic Hurwitz-type Euler zeta functions

Journal of Number Theory, 2012
37 Pages.
Kim, MS Kim, Min-Soo, Hu, S Hu, Su
openaire   +3 more sources

A weighted limit theorem for periodic Hurwitz zeta-function

Lietuvos Matematikos Rinkinys, 2012
In the paper, a weighted limit theorem for weakly convergent probability measures on the complex plane for the periodic Hurwitz zeta function is obtained.
Oleg Lukašonok
doaj   +1 more source

A NEW EXTENSION OF THE HURWITZ- LERCH ZETA FUNCTION AND PROPERTIES USING THE EXTENDED BETA FUNCTION \(B_{p,q}^{(ρ,σ,τ)}(x,y)\)

مجلّة جامعة عدن للعلوم الأساسيّة والتّطبيقيّة, 2020
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
doaj   +1 more source

Quantum simulation of the Riemann-Hurwitz zeta function

, 2013
We propose a simple realization of a quantum simulator of the Riemann-Hurwitz (RH) \zeta\ function based on a truncation of its Dirichlet representation. We synthesize a nearest-neighbour-interaction Hamiltonian, satisfying the property that the temporal
Della Valle, Giuseppe, Longhi, Stefano, Torosov, Boyan T.   +2 more
core   +1 more source

Real zeros of the Hurwitz zeta function [PDF]

, 2016
It is well known that real zeros of the Riemann zeta function are negative even integers. As for real zeros of the Hurwitz zeta function, T. Nakamura recently gave an existence condition in the intervals (0,1) and (-1,0).
Toshiki Matsusaka
semanticscholar   +1 more source

Definite integral of the logarithm hyperbolic secant function in terms of the Hurwitz zeta function

, 2021
We evaluate definite integrals of the form given by $\int_{0}^{\infty}R(a,x)\log (\cos (\alpha ) \text{sech}(x)+1)dx$. The function $R(a,x)$ is a rational function with general complex number parameters. Definite integrals of this form yield closed forms
Robert Reynolds, Allan Stauffer
semanticscholar   +1 more source

Some Weighted Sum Formulas for Multiple Zeta, Hurwitz Zeta, and Alternating Multiple Zeta Values

Journal of Mathematics, 2021
We perform a further investigation for the multiple zeta values and their variations and generalizations in this paper. By making use of the method of the generating functions and some connections between the higher-order trigonometric functions and the ...
Yuan He, Zhuoyu Chen
doaj   +1 more source

Further extension of the generalized Hurwitz-Lerch Zeta function of two variables

, 2019
The main aim of this paper is to give a new generalization of Hurwitz-Lerch Zeta function of two variables.Also, we investigate several interesting properties such as integral representations, summation formula and a connection with generalized ...
Nisar, Kottakkaran Sooppy
core   +1 more source

Diagonal convergence of the remainder Padé approximants for the Hurwitz zeta function

Journal of Number Theory, 2020
The Hurwitz zeta function $\zeta(s, a)$ admits a well-known (divergent) asymptotic expansion in powers of $1/a$ involving the Bernoulli numbers. Using Wilson orthogonal polynomials, we determine an effective bound for the error made when this asymptotic ...
M. Prévost, T. Rivoal
semanticscholar   +1 more source

Universality Theorems for Some Composite Functions

Mathematical Modelling and Analysis, 2016
In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions.
Kęstutis Janulis, Donatas Jurgaitis, Antanas Laurinčikas, Renata Macaitienė   +3 more
doaj   +1 more source