Results 201 to 210 of about 72,493 (237)

Is the Riemann Zeta Function in a Short Interval a 1-RSB Spin Glass?

open access: yesInfotech@Aerospace Conference, 2017
Fyodorov, Hiary & Keating established an intriguing connection between the maxima of log-correlated processes and the ones of the Riemann zeta function on a short interval of the critical line.
L. Arguin, Warren Tai
semanticscholar   +3 more sources

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

On the extreme values of the Riemann zeta function on random intervals of the critical line

, 2016
In the present paper, we show that under the Riemann hypothesis, and for fixed $$h, \epsilon > 0$$h,ϵ>0, the supremum of the real and the imaginary parts of $$\log \zeta (1/2 + it)$$logζ(1/2+it) for $$t \in [UT -h, UT + h]$$t∈[UT-h,UT+h] are in the ...
J. Najnudel
semanticscholar   +1 more source

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   +1 more source

Home - About - Disclaimer - Privacy