On the growth of functions represented by Dirichlet series with complex coefficients on the real axis

被引：0
作者：
B. V. Vynnyts’kyi
O. V. Shapovalovs’kyi
机构：
来源：
Ukrainian Mathematical Journal | 1997年 / 49卷 / 12期
关键词：
Entire Function; Real Axis; Pedagogic Institute; London Math; Coefficient Estimate;
D O I：
10.1007/BF02513060
中图分类号：
学科分类号：
摘要：
We establish conditions under which, for a Dirichlet series F(z) = Σn = 1∞dnexp(λnz), the inequality ⋎F(x)⋎≤y(x),x≥xo, implies the relation Σn = 1∞ |dnexp(λnz)| ⪯ γ((1 + o(1))x) as x→+∞, where γ is a nondecreasing function on (−∞,+∞).
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页码：1810 / 1818
页数：8
相关论文
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