Results 101 to 110 of about 3,466 (218)

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

The Riemann Zeta Function and Prime Numbers

, 2023
This thesis is the result of a literature study regarding the relationship between the Riemann zeta function and prime numbers. We introduce the $\zeta$ function, discussing its properties.
Rune, Oskar, Envall, Linus
core   +1 more source

Partial Sums of the Hurwitz and Allied Functions and Their Special Values

Mathematics
We supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang, Ruiyang Li, Takako Kuzumaki   +2 more
doaj   +1 more source

On the Modulus of the Selberg Zeta-Functions in the Critical Strip

Mathematical Modelling and Analysis, 2015
We investigate the behavior of the real part of the logarithmic derivatives of the Selberg zeta-functions ZPSL(2,Z)(s) and ZC (s) in the critical strip 0 < σ < 1.
Andrius Grigutis, Darius Šiaučiūnas
doaj   +1 more source

A two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function

Lietuvos Matematikos Rinkinys, 2007
In the paper two-dimensional limit theorem for the modified Mellin transform of the Riemann zeta-function is obtained.
Violeta Balinskaitė
doaj   +1 more source

Resonances for graph directed Markov systems, and geometry of infinitely generated dynamical systems

, 2009
In the first part of this thesis we transfer a result of Guillopé et al. concerning the number of zeros of the Selberg zeta function for convex cocompact Schottky groups to the setting of certain types of graph directed Markov systems (GDMS ...
Hille, Martial R.
core  

Interpolating the Riemann Zeta Function in the p-adics

, 2022
In this thesis, we develop the Kubota-Leopoldt Riemann zeta function in the p-adic integers. We follow Neil Koblitz\u27s interpolation of Riemann zeta, using Bernoulli measures and p-adic integrals.
Mamlet, Rebecca
core  

The Riemann zeta-function

, 1992
The Riemann Zeta-Function (De Gruyter Expositions in Mathematics)
Voronin, S M, Karatsuba, Anatoly A
core  

Riemann zeta function and prime numbers [PDF]

, 2018
In mathematics still exist a lot of unproven theorems and one of them is Riemann hypothesis about zeroes of zeta function. Although the function was named after Bernhard Riemann, it was studied by Euler about 120 years before him.
Čačkov, Petra
core  

Riemann zeta function

, 2016
Knowledge about complex analysis, exponential functions and special functionsThe Riemann zeta function (or, precisely, the Riemann-Siegel Z function) along the critical line.
Wolfram, Stephen
core