On Convergence and Growth of Multiple Dirichlet Series
Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 759-769
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In the present paper, the Valiron formula of simple Dirichlet series is extended to $n$-tuple Dirichlet series. And an equivalence relation between the order of $n$-tuple Dirichlet series and its coefficients and exponents is obtained.
Keywords:
$n$-tuple Dirichlet series, order.
Mots-clés : convergent abscissa, maximal module, maximal term
Mots-clés : convergent abscissa, maximal module, maximal term
@article{MZM_2010_88_5_a10,
author = {Meili Liang and Zongsheng Gao},
title = {On {Convergence} and {Growth} of {Multiple} {Dirichlet} {Series}},
journal = {Matemati\v{c}eskie zametki},
pages = {759--769},
publisher = {mathdoc},
volume = {88},
number = {5},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a10/}
}
Meili Liang; Zongsheng Gao. On Convergence and Growth of Multiple Dirichlet Series. Matematičeskie zametki, Tome 88 (2010) no. 5, pp. 759-769. http://geodesic.mathdoc.fr/item/MZM_2010_88_5_a10/