Upper bounds for the density of universality. II
Communications in Mathematics, Tome 13 (2005) no. 1, pp. 73-82
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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.
Classification :
11M06, 11M26, 11M41
Keywords: universality; effectivity; Riemann zeta-function; Dirichlet series
Keywords: universality; effectivity; Riemann zeta-function; Dirichlet series
@article{COMIM_2005__13_1_a7,
author = {Steuding, J\"orn},
title = {Upper bounds for the density of universality. {II}},
journal = {Communications in Mathematics},
pages = {73--82},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {2005},
mrnumber = {2290420},
zbl = {1251.11059},
language = {en},
url = {http://geodesic.mathdoc.fr/item/COMIM_2005__13_1_a7/}
}
Steuding, Jörn. Upper bounds for the density of universality. II. Communications in Mathematics, Tome 13 (2005) no. 1, pp. 73-82. http://geodesic.mathdoc.fr/item/COMIM_2005__13_1_a7/