Universality of the Riemann zeta-function

DOI10.1016/J.JNT.2010.04.007zbMath1261.11057OpenAlexW2078136784MaRDI QIDQ708269

Antanas Laurinčikas

Publication date: 11 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.04.007

zbMATH Keywords

Riemann zeta-functionlimit theoremuniversality

Mathematics Subject Classification ID

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

Related Items (18)

JOINT UNIVERSALITY OF HURWITZ ZETA-FUNCTIONS ⋮ Almost periodic functions in terms of Bohr's equivalence relation ⋮ Discrete universality of \(L\)-functions of new forms. II ⋮ Value distribution of twists of \(L\)-functions of elliptic curves ⋮ Applications of hybrid universality to multivariable zeta-functions ⋮ On joint universality of the Riemann zeta-function and Hurwitz zeta-functions ⋮ Extension of the functional independence of the Riemann zeta-function ⋮ Joint universality of Hurwitz zeta-functions and nontrivial zeros of the Riemann zeta-function. II ⋮ Joint discrete universality for periodic zeta-functions. II ⋮ ON THE UNIVERSALITY OF THE HURWITZ ZETA-FUNCTION ⋮ Approximation by generalized shifts of the Riemann zeta-function in short intervals ⋮ Differential universality ⋮ Universality theorems for zeta-functions with periodic coefficients ⋮ On the universality of derived functions of the Riemann zeta-function ⋮ On universality of the Lerch zeta-function ⋮ Universality of the Riemann zeta-function in short intervals ⋮ UNIVERSALITY THEOREMS FOR SOME COMPOSITE FUNCTIONS ⋮ Sharpening of the universality inequality

Cites Work

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• Value distribution of \(L\)-functions
• Zeros of the derivative of the Riemann zeta-function
• A joint universality theorem for Dirichlet L-functions
• On the mean square of the Riemann zeta-function
• The universality of zeta-functions
• THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION

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