# Ein satz über dirichletsche reihen mit anwendung auf die ζ-funktion und die l-funktionen

@article{BohrEinS,
title={Ein satz {\"u}ber dirichletsche reihen mit anwendung auf die $\zeta$-funktion und die l-funktionen},
author={Harald Bohr and Edmund von Landau},
journal={Rendiconti del Circolo Matematico di Palermo (1884-1940)},
volume={37},
pages={269-272}
}
• Published 1 December 1914
• Mathematics
• Rendiconti del Circolo Matematico di Palermo (1884-1940)
On large gaps between consecutive zeros, on the critical line, of some zeta-functions
In this thesis we extend a method of Hall $[30, 34]$ which he used to show the existence of large gaps between consecutive zeros, on the critical line, of the Riemann zeta-function $zeta(s)$. Our
Aspects of Analytic Number Theory : The Universality of the Riemann Zeta-Function
Abstract. These notes deal with Voronin’s universality theorem which states, roughly speaking, that any non-vanishing analytic function can be uniformly approximated by certain shifts of the Riemann
Universality for generalized Euler products
In the paper, following ideas of Bohr and Bagchi, we present a new equivalent formulation of the Riemann hypothesis for the Riemann zeta-function ζ(s) in terms of approximation properties of certain
Randomness of Möbius coefficents and brownian motion: growth of the Mertens function and the Riemann Hypothesis
• Mathematics
• 2021
The validity of the Riemann Hypothesis (RH) on the location of the non-trivial zeros of the Riemann ζ-function is directly related to the growth of the Mertens function M(x) = ∑x k=1 μ(k), where μ(k)
Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis
• Mathematics
Journal of Statistical Mechanics: Theory and Experiment
• 2021
The validity of the Riemann hypothesis (RH) on the location of the non-trivial zeros of the Riemann ζ-function is directly related to the growth of the Mertens function M(x)=∑k=1xμ(k) , where μ(k) is
On the $a$-points of symmetric sum of multiple zeta function.
• Mathematics
• 2020
In this paper, we present some results on the $a$-points of the symmetric sum of the Euler-Zagier multiple zeta function. Our first three results are for the $a$-points free region of the function.
On the $a$-points of multiple zeta function
• Mathematics
• 2020
In this paper, we present some results on the $a$-points of the symmetric sum of the Euler-Zagier multiple zeta function. Our first three results are for the $a$-points free region of the function.
Riemann hypothesis.
This work is dedicated to the promotion of the results Hadamard, Landau E., Walvis A., Estarmann T and Paul R. Chernoff for pseudo zeta functions. The properties of zeta functions are studied, these