The universality of zeta-functions

DOI10.1023/A:1025797802722zbMath1038.11059OpenAlexW121328831MaRDI QIDQ1415883

Antanas Laurinčikas

Publication date: 9 December 2003

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025797802722

zbMATH Keywords

weak convergenceuniversalityDirichlet seriessupportEuler productzeta-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41)

Related Items (23)

A discrete version of the Mishou theorem. II ⋮ JOINT UNIVERSALITY OF HURWITZ ZETA-FUNCTIONS ⋮ Discrete universality of \(L\)-functions of new forms. II ⋮ Unnamed Item ⋮ On the non-trivial zeros off the critical line for \(L\)-functions from the extended Selberg class ⋮ Zeros of Dirichlet series ⋮ The universality for linear combinations of Lerch zeta functions and the Tornheim-Hurwitz type of double zeta functions ⋮ The universality theorem for Hecke \(L\)-functions ⋮ On the joint universality of Lerch zeta functions ⋮ A JOINT UNIVERSALITY THEOREM FOR PERIODIC HURWITZ ZETA-FUNCTIONS ⋮ Does the Riemann zeta function satisfy a differential equation? ⋮ ON THE UNIVERSALITY OF THE HURWITZ ZETA-FUNCTION ⋮ Universality theorems for zeta-functions with periodic coefficients ⋮ Some value-distribution theorems for periodic Hurwitz zeta-functions ⋮ Universality of the Riemann zeta-function ⋮ On the value distribution of shifts of universal Dirichlet series ⋮ A discrete universality theorem for general Dirichlet series ⋮ On the universality of derived functions of the Riemann zeta-function ⋮ Discrete universality of \(L\)-functions for new forms ⋮ Unnamed Item ⋮ Joint discrete universality of periodic zeta-functions ⋮ Universality of the periodic Hurwitz zeta-function ⋮ Sharpening of the universality inequality

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