On the regular growth of Dirichlet series absolutely convergent in a half-plane
For the Dirichlet series with abscissa of absolute convergence σ a =0, we establish conditions for ( λ n ) and ( a n ) under which for σ ↑ 0, where and T R and ϱ R are positive constants.
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| Veröffentlicht in: | Ukrainian mathematical journal 2011-10, Vol.63 (5), p.797-814 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | For the Dirichlet series
with abscissa of absolute convergence
σ
a
=0, we establish conditions for (
λ
n
) and (
a
n
) under which
for
σ
↑ 0, where
and
T
R
and
ϱ
R
are positive constants. |
|---|---|
| ISSN: | 0041-5995 1573-9376 |
| DOI: | 10.1007/s11253-011-0543-7 |