ON THE REGULAR GROWTH OF DIRICHLET SERIES ABSOLUTELY CONVERGENT IN A HALF-PLANE

被引：1

作者：

Stets', Yu V. ^{[1
]}

Sheremeta, M. M. ^{[1
]}

机构：

[1] Lviv Natl Univ, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2011年 / 63卷 / 05期

关键词：

Asymptotic Behavior; Natural Number; Asymptotic Representation; Dirichlet Series; Absolute Convergence;

D O I：

10.1007/s11253-011-0543-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Dirichlet series F(s) = Sigma(infinity)(n=1) a(n) exp{s lambda(n)} g with abscissa of absolute convergence sigma(a) = 0, we establish conditions for (lambda(n)) and (a(n)) under which ln M (sigma, F) = T(R)(1 + o(1)) exp{Q(R)/|sigma|} for sigma up arrow 0, where M(sigma, F) = sup{|F (sigma + it)|: t is an element of R} and T(R) and Q(R) are positive constants.

引用

页码：797 / 814

页数：18