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We prove a new type of universality theorem for the Riemann zeta-function and other $L$ -functions (which are universal in the sense of Voronin’s theorem). In contrast to previous universality theorems for the zeta-function or its various generalizations, here the approximating shifts are taken from the orbit of an ergodic transformation on the real line.

Errata: Maximum modulus function of derivatives of entire functions defined by Dirichlet series

J. S. Gupta, D. K. Bhola (1974)

Commentationes Mathematicae Universitatis Carolinae

Erratum for “Generalized dirichlet series and $B$ -functions”

Ben Lichtin (1989)

Compositio Mathematica

Erratum for the paper "On extensions of the Laurent's theorem in the functional calculus with applications to the generation of higer transcendental functions"

L. M. B. C. Campos (1988)

Matematički Vesnik

Essai sur l'étude des fonctions données par leur développement de Taylor

J. Hadamard (1892)

Journal de Mathématiques Pures et Appliquées

Essential norms of weighted composition operators on the space $ℋ^{\infty}$ of Dirichlet series

Pascal Lefèvre (2009)

Studia Mathematica

We estimate the essential norm of a weighted composition operator relative to the class of Dunford-Pettis operators or the class of weakly compact operators, on the space $ℋ^{\infty}$ of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.

Estimation of polynomial roots by continued fractions

Petr Klán (1985)

Kybernetika

Estimation over curves of the functions given by Dirichlet series on a half-plane.

Gajsin, A.M., Belous, T.I. (2003)

Sibirskij Matematicheskij Zhurnal

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