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} }
33 Citations
On large gaps between consecutive zeros, on the critical line, of some zeta-functions
- Mathematics
- 2011
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
- Mathematics, Philosophy
- 2009
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
- Mathematics
- 2006
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
- MathematicsJournal 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.…
Explicit formulae and discrepancy estimates for
a-points of the Riemann zeta-function
- Mathematics
- 2019
Riemann hypothesis.
- Mathematics
- 2019
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…