Growth of coefficients of universal Dirichlet series

A. Mouze

Annales Polonici Mathematici (2007)

  • Volume: 91, Issue: 1, page 11-23
  • ISSN: 0066-2216

Abstract

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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.

How to cite

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A. Mouze. "Growth of coefficients of universal Dirichlet series." Annales Polonici Mathematici 91.1 (2007): 11-23. <http://eudml.org/doc/280667>.

@article{A2007,
abstract = {We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.},
author = {A. Mouze},
journal = {Annales Polonici Mathematici},
keywords = {Dirichlet series; Dirichlet polynomial; universality; simultaneous approximation; estimates of coefficients of Dirichlet series; admissible set for Dirichlet series},
language = {eng},
number = {1},
pages = {11-23},
title = {Growth of coefficients of universal Dirichlet series},
url = {http://eudml.org/doc/280667},
volume = {91},
year = {2007},
}

TY - JOUR
AU - A. Mouze
TI - Growth of coefficients of universal Dirichlet series
JO - Annales Polonici Mathematici
PY - 2007
VL - 91
IS - 1
SP - 11
EP - 23
AB - We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.
LA - eng
KW - Dirichlet series; Dirichlet polynomial; universality; simultaneous approximation; estimates of coefficients of Dirichlet series; admissible set for Dirichlet series
UR - http://eudml.org/doc/280667
ER -

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