Upper bounds for the density of universality. II

Jörn Steuding

Acta Mathematica Universitatis Ostraviensis (2005)

  • Volume: 13, Issue: 1, page 73-82
  • ISSN: 1804-1388

Abstract

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We prove explicit upper bounds for the density of universality for Dirichlet series. This complements previous results [15]. Further, we discuss the same topic in the context of discrete universality. As an application we sharpen and generalize an estimate of Reich concerning small values of Dirichlet series on arithmetic progressions in the particular case of the Riemann zeta-function.

How to cite

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Steuding, Jörn. "Upper bounds for the density of universality. II." Acta Mathematica Universitatis Ostraviensis 13.1 (2005): 73-82. <http://eudml.org/doc/35154>.

@article{Steuding2005,
abstract = {We prove explicit upper bounds for the density of universality for Dirichlet series. This complements previous results [15]. Further, we discuss the same topic in the context of discrete universality. As an application we sharpen and generalize an estimate of Reich concerning small values of Dirichlet series on arithmetic progressions in the particular case of the Riemann zeta-function.},
author = {Steuding, Jörn},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {universality; effectivity; Riemann zeta-function; Dirichlet series; universality; effectivity; Riemann zeta-function; Dirichlet series},
language = {eng},
number = {1},
pages = {73-82},
publisher = {University of Ostrava},
title = {Upper bounds for the density of universality. II},
url = {http://eudml.org/doc/35154},
volume = {13},
year = {2005},
}

TY - JOUR
AU - Steuding, Jörn
TI - Upper bounds for the density of universality. II
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2005
PB - University of Ostrava
VL - 13
IS - 1
SP - 73
EP - 82
AB - We prove explicit upper bounds for the density of universality for Dirichlet series. This complements previous results [15]. Further, we discuss the same topic in the context of discrete universality. As an application we sharpen and generalize an estimate of Reich concerning small values of Dirichlet series on arithmetic progressions in the particular case of the Riemann zeta-function.
LA - eng
KW - universality; effectivity; Riemann zeta-function; Dirichlet series; universality; effectivity; Riemann zeta-function; Dirichlet series
UR - http://eudml.org/doc/35154
ER -

References

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