Distribution modulo 1 and the discrete universality of the Riemann zeta-function

DOI10.1007/S12188-016-0123-8zbMath1409.11061OpenAlexW2321607052MaRDI QIDQ266538

Antanas Laurinčikas, Arturas Dubickas

Publication date: 13 April 2016

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-016-0123-8

zbMATH Keywords

Riemann zeta-functiondiscrete universalitydistribution modulo 1Voronin's theorem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) General theory of distribution modulo (1) (11K06) Universal holomorphic functions of one complex variable (30K99)

Related Items (16)

Non-trivial zeros of the Riemann zeta-function and joint universality theorems ⋮ Discrete universality of the Riemann zeta-function and uniform distribution modulo 1 ⋮ Discrete universality in the Selberg class ⋮ A remark on the distribution of the values of the Riemann zeta function ⋮ Joint universality of Hurwitz zeta-functions and nontrivial zeros of the Riemann zeta-function. II ⋮ On the Hurwitz zeta-function with algebraic irrational parameter. II ⋮ On discrete universality of the Riemann zeta-function with respect to uniformly distributed shifts ⋮ A new application of the Gram points ⋮ Discrete mean square of the Riemann zeta-function over imaginary parts of its zeros ⋮ Some relations between zeros and universality of the Riemann zeta-function ⋮ Universality of -Dirichlet functions and nontrivial zeros of the Riemann zeta-function ⋮ Extension of the discrete universality theorem for zeta-functions of certain cusp forms ⋮ A generalization of the Voronin theorem ⋮ WEIGHTED DISCRETE UNIVERSALITY OF THE RIEMANN ZETA-FUNCTION ⋮ Joint universality of certain Dirichlet series ⋮ Discrete universality of the Riemann zeta-function in short intervals

Cites Work

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• Value distribution of \(L\)-functions
• Werteverteilung von Zetafunktionen
• On the mean square of the Riemann zeta-function
• Sharpening of the universality inequality
• Topics in multiplicative number theory
• THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION

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