Results 11 to 20 of about 5,518,989 (159)

Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function

Mathematical Modelling and Analysis
In 2017, Garunkštis, Laurinčikas and Macaitienė proved the discrete universality theorem for the Riemann zeta-function shifted by imaginary parts of nontrivial zeros of the Riemann zeta-function.
Keita Nakai
doaj   +2 more sources

On Evaluation of Riemann Zeta function ζ(s) [PDF]

, 2002
In this paper, by using Fourier series theory, several summing formulae for Riemann Zeta function ζ(s) and Dirichlet series are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
core   +6 more sources

The Riemann zeta function [PDF]

, 2004
The Riemann Zeta Function has a deep connection with the distribution of primes. This expository thesis will explain the techniques used in proving the properties of the Rieman Zeta Function, its analytic continuation to the complex plane, and the ...
Reyes, Ernesto Oscar
core   +6 more sources

Moments of the Dedekind zeta function [PDF]

, 2013
We study analytic aspects of the Dedekind zeta function of a Galois extension. Specifically, we are interested in its mean values. In the first part of this thesis we give a formula for the second moment of the Dedekind zeta function of a quadratic ...
Heap, Winston
core   +5 more sources

The holomorphic flow of the Riemann zeta function [PDF]

, 2003
The flow of the Riemann zeta function, ś = ς(s), is considered, and phase portraits are presented. Attention is given to the characterization of the flow lines in the neighborhood of the first 500 zeros on the critical line.
Barnett, A. Ross, Broughan, Kevin A.
core   +1 more source

Linear law for the logarithms of the Riemann periods at simple critical zeta zeros [PDF]

, 2006
Each simple zero 1/2 + iγn of the Riemann zeta function on the critical line with γn > 0 is a center for the flow s˙ = ξ(s) of the Riemann xi function with an associated period Tn. It is shown that, as γn →∞, log Tn ≥ π/4 γn + O(log γn).
Barnett, A. Ross, Broughan, Kevin A.
core   +1 more source

Some Numerical Significance of the Riemann Zeta Function

Recent Advances in Natural Sciences, 2023
In this paper, the Riemann analytic continuation formula (RACF) is derived from Euler’s quadratic equation. A nonlinear function and a polynomial function that were required in the derivation were also obtained.
Opeyemi O. Enoch, Lukman O. Salaudeen
doaj   +1 more source

Fungsi Zeta Riemann Genap Menggunakan Bilangan Bernoulli

Desimal, 2019
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, Vina Apriliani, Muhamad Syazali   +2 more
doaj   +1 more source

General infinite series evaluations involving Fibonacci numbers and the Riemann zeta function

Математичні Студії, 2021
The purpose of this paper is to present closed forms for various types of infinite series involving Fibonacci (Lucas) numbers and the Riemann zeta function at integer arguments.
R. Frontczak, T. Goy
doaj   +1 more source

On the property of the Smarandache-Riemann zeta sequence [PDF]

, 2008
In this paper, some elementary methods are used to study the property of the Smarandache-Riemann zeta sequence and obtain a general ...
Yanrong, Xue
core   +1 more source