Discrepancy bounds for the distribution of the Riemann zeta-function and applications

DOI10.1007/s11854-019-0063-1zbMath1437.11130arXiv1402.6682OpenAlexW2986631369WikidataQ126833768 ScholiaQ126833768MaRDI QIDQ2299596

Maksym Radziwiłł, Youness Lamzouri, Stephen Lester

Publication date: 21 February 2020

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6682

zbMATH Keywords

Riemann zeta functiondistribution theorems

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (15)

The distribution of values of \(\frac{L^\prime}{L}(1 / 2 + \epsilon, \chi_D)\) ⋮ Universality theorem for the iterated integrals of the logarithm of the Riemann zeta-function ⋮ Distribution of Dirichlet L‐functions ⋮ Small Values of |L'/L(1,χ)| ⋮ Large deviations for values of \(L\)-functions attached to cusp forms in the level aspect ⋮ The value-distribution of Artin \(L\)-functions associated with cubic fields in conductor aspect ⋮ The distribution of values of zeta and \(L\)-functions ⋮ The density function for the value-distribution of the Lerch zeta-function and its applications ⋮ On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function. I: Denseness ⋮ Two dimensional value-distribution of cubic Hecke $L$-functions ⋮ Zeros of the Epstein zeta function to the right of the critical line ⋮ On the zeros of Epstein zeta functions near the critical line ⋮ Discrepancy bounds for distribution of automorphic \(L\)-functions ⋮ An asymptotic expansion of Selberg's central limit theorem near the critical line ⋮ Moments and distribution of values of $L$-functions over function fields inside the critical strip

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the zeros of Epstein zeta functions
• Extreme values of the Riemann zeta function
• Über die Werteverteilung der Riemannschen Zetafunktion. II. Mitt.: Das Verhalten der Funktion im Streifen \({1\over 2}<\sigma\leq 1\)
• Mean motions and values of the Riemann zeta function
• Extreme values of argL(1,χ)
• On the Distribution of Extreme Values of Zeta and L-Functions in the Strip 1/2 <   < 1
• On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products
• The Two-Dimensional Distribution of Values of ζ(1 + it)
• Discrepancy estimates for the value-distribution of the Riemann zeta-function III
• A limit theorem for Bohr-Jessen's probability measures of the Riemann zeta-function
• Discrepancy Estimates for the Value-Distribution of the Riemann Zeta-Function, IV
• Zero-Density Estimates for Epstein Zeta Functions*
• Large deviations of Montgomery type and its application to the theory of zeta-functions
• On the Zeros of the Derivative of the Riemann Zeta Function

This page was built for publication: Discrepancy bounds for the distribution of the Riemann zeta-function and applications