Results 101 to 110 of about 71,062 (275)

A mixed joint universality theorem for zeta‐functions

Mathematical Modelling and Analysis, 2010
In the paper, a joint universality theorem for the Riemann zeta‐function and a collection of periodic Hurwitz zeta‐functions on approximation of analytic functions is obtained.
Jonas Genys, Renata Macaitienė, Santa Račkauskienė, Darius Šiaučiūnas   +3 more
doaj   +1 more source

Riemann surface of the Riemann zeta function

Journal of Mathematical Analysis and Applications
In this paper we treat the classical Riemann zeta function as a function of three variables: one is the usual complex $\adyn$-dimensional, customly denoted as $s$, another two are complex infinite dimensional, we denote it as $\b = \{b_n\}_{n=1}^{\infty}$ and $\z =\{z_n\}_{n=1}^{\infty}$. When $\b = \{1\}_{n=1}^{\infty}$ and $\z = \{\frac{1}{n}\}_{n=1}^
openaire   +2 more sources

Arithmetic constants for symplectic variances of the divisor function

Mathematika, Volume 71, Issue 3, July 2025.
Abstract Kuperberg and Lalín stated some conjectures on the variance of certain sums of the divisor function dk(n)$d_k(n)$ over number fields, which were inspired by analogous results over function fields proven by the authors. These problems are related to certain symplectic matrix integrals. While the function field results can be directly related to
Vivian Kuperberg, Matilde Lalín
wiley   +1 more source

Two kinds of the reverse Hardy-type integral inequalities with the equivalent forms related to the extended Riemann zeta function

, 2018
Applying techniques of real analysis and weight functions, we study some equivalent conditions of two kinds of the reverse Hardy-type integral inequalities with a particular nonhomogeneous kernel.
M. Rassias, Bicheng Yang, Andrei M. Raigorodskii   +2 more
semanticscholar   +1 more source

Solar Energy Storage Optimization Using Fractional Derivative Simulations of Maxwell Hybrid Nanofluid Flow: Entropy Generation Analysis

Energy Science &Engineering, Volume 13, Issue 6, Page 2856-2873, June 2025.
ABSTRACT This attempt examines the heat transfer enhancement from unsteady bioconvective Maxwell nanofluid flow under the incidence of solar radiation influenced by viscous dissipation and chemical reaction through a porous medium. The nanofluid contains silver and titanium alloy hybrid nanoparticles with gyrotactic micro‐organisms in ethylene glycol ...
Bhupendra K. Sharma, Anup Kumar, Madhu Sharma, Bandar Almohsen, Nehad Ali Shah   +4 more
wiley   +1 more source

On totally umbilical and minimal surfaces of the Lorentzian Heisenberg groups

Mathematische Nachrichten, Volume 298, Issue 6, Page 1922-1942, June 2025.
Abstract This paper has manifold purposes. We first introduce a description of the Gauss map for submanifolds (both spacelike and timelike) of a Lorentzian ambient space and relate the conformality of the Gauss map of a surface to total umbilicity and minimality.
Giovanni Calvaruso, Marco Castrillón‐Lopez, Lorenzo Pellegrino   +2 more
wiley   +1 more source

On the periodic zeta-function with rational parameter

Lietuvos Matematikos Rinkinys, 2011
We obtain an asymptotic formula with estimated error term for the fourth power moment of the periodic zeta-function with rational parameter.
Sondra Černigova
doaj   +1 more source

Extreme values of derivatives of the Riemann zeta function. [PDF]

Mathematika, 2022
Yang D.
europepmc   +1 more source

The Extension of the Riemann’s Zeta Function

International Journal of Basic Sciences and Applied Computing
In mathematics, the search for exact formulas giving all the prime numbers, certain families of prime numbers or the n-th prime number has generally proved to be vain, which has led to contenting oneself with approximate formulas [8]. The purpose of this article is to give a new proof of the Riemann hypothesis [4]-which is closely related to the ...
openaire   +2 more sources

Counting zeros of the Riemann zeta function [PDF]

Journal of Number Theory, 2021
Elchin Hasanalizade, Quanli Shen, PENG-JIE Wong   +2 more
semanticscholar   +1 more source