The distribution of the vector (|ζ(s, α)|; ζ(s, α)), where ζ(s, α) is the Hurwitz zeta-function with transcendental parameter α, is considered and a probabilistic limit theorem is obtained. Also, the dependence between |ζ(s, α)| and ζ(s, α) in terms of m-characteristic transforms is discussed.
@article{bwmeta1.element.doi-10_2478_s11533-010-0043-2,
author = {Antanas Laurin\v cikas},
title = {On limit distribution of the Hurwitz zeta-function},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {786-794},
zbl = {1218.11082},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0043-2}
}
Antanas Laurinčikas. On limit distribution of the Hurwitz zeta-function. Open Mathematics, Tome 8 (2010) pp. 786-794. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0043-2/
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