Results 161 to 170 of about 75,204 (223)

The Riemann hypothesis and universality of the Riemann zeta-function

Mathematica Slovaca, 2018
We prove that, under the Riemann hypothesis, a wide class of analytic functions can be approximated by shifts ζ(s + iγk), k ∈ ℕ, of the Riemann zeta-function, where γk are imaginary parts of nontrivial zeros of ζ(s).
R. Garunkštis, A. Laurinčikas
semanticscholar   +3 more sources

Explicit bounds for the Riemann zeta function and a new zero-free region

Journal of Mathematical Analysis and Applications, 2023
We prove that $|\zeta(\sigma+it)|\le 70.7 |t|^{4.438 (1-\sigma)^{3/2}}\log^{2/3}|t|$ for $1/2\le\sigma\le 1$ and $|t|\ge 3$. As a consequence, we improve the explicit zero-free region for $\zeta(s)$, showing that $\zeta(\sigma+it)$ has no zeros in the ...
C. Bellotti
semanticscholar   +1 more source

Extreme values of the Riemann zeta function and its argument

Mathematische Annalen, 2017
We combine our version of the resonance method with certain convolution formulas for ζ(s)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
A. Bondarenko, K. Seip
semanticscholar   +1 more source

Home - About - Disclaimer - Privacy