A generalization of the Voronin theorem

DOI10.1007/S10986-019-09418-ZzbMath1443.11169OpenAlexW2910949806WikidataQ128553572 ScholiaQ128553572MaRDI QIDQ2332659

Renata Macaitiene, Antanas Laurinčikas, Darius Šiaučiūnas

Publication date: 4 November 2019

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-019-09418-z

zbMATH Keywords

Riemann zeta functionlimit theoremuniversalityHaar measureMergelyan theorem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Related Items (6)

Universality of an absolutely convergent Dirichlet series with modified shifts ⋮ On a generalization of Voronin's theorem ⋮ Effective universality theorem: a survey ⋮ Approximation by generalized shifts of the Riemann zeta-function in short intervals ⋮ Joint universality of certain Dirichlet series ⋮ Estimates for Weyl sums in the theory of discrete universality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distribution modulo 1 and the discrete universality of the Riemann zeta-function
• Uniform distribution modulo 1 and the joint universality of Dirichlet \(L\)-functions
• On discrete universality of the Riemann zeta-function with respect to uniformly distributed shifts
• Value distribution of \(L\)-functions
• Joint universality for dependent \(L\)-functions
• Limit theorems for the Matsumoto zeta-function
• A SURVEY ON THE THEORY OF UNIVERSALITY FOR ZETA AND L-FUNCTIONS

This page was built for publication: A generalization of the Voronin theorem