On joint universality of the Riemann zeta-function and Hurwitz zeta-functions

DOI10.1016/j.jnt.2012.05.026zbMath1272.11099OpenAlexW2027673458MaRDI QIDQ455796

Antanas Laurinčikas

Publication date: 22 October 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.05.026

zbMATH Keywords

Riemann zeta-functionlimit theoremHurwitz zeta-functionuniversalityspace of analytic functionsMergelyan theorem

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35) Universal Dirichlet series in one complex variable (30K10)

Related Items (4)

Unnamed Item ⋮ Joint approximation of analytic functions by shifts of the Riemann and periodic Hurwitz zeta-functions ⋮ UNIVERSALITY THEOREMS FOR SOME COMPOSITE FUNCTIONS ⋮ Sharpening of the universality inequality

Cites Work

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• Universality of the Riemann zeta-function
• Value distribution of \(L\)-functions
• On the mean square of the Riemann zeta-function
• The joint value-distribution of the Riemann zeta function and Hurwitz zeta functions
• The joint distribution of periodic zeta-functions
• Joint universality of zeta-functions with periodic coefficients
• ON THE UNIVERSALITY OF THE HURWITZ ZETA-FUNCTION
• Joint universality for sums and products of Dirichlet L-functions

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