Estimation over curves of the functions given by Dirichlet series on a half-plane

被引：2
作者：
Gaisin, AM
Belous, TI
机构：
[1] Institute of Mathematics and Computing Center, Ufa
[2] Aviation Technical University, Ufa
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2003年 / 44卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
Dirichlet series; maximal term; Hadamard composition; asymptotic behavior over curves;
D O I：
10.1023/A:1022004102200
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the maximal term of the Hadamard composition of Dirichlet series with real exponents. We obtain a lower estimate for the sum of a Dirichlet series over a curve arbitrarily approaching the convergence line.
引用
收藏
页码：22 / 36
页数：15
相关论文
共 17 条
  • [1] SOME THEOREMS ON BOUNDEDNESS OF ANALYTIC FUNCTIONS
    BEURLING, A
    [J]. DUKE MATHEMATICAL JOURNAL, 1949, 16 (02) : 355 - 359
  • [2] Evgrafov M. A., 1979, Asymptotic estimates and entire functions, V3d
  • [3] Fuchs W. H. J., 1963, ILLINOIS J MATH, V7, P661
  • [4] Gaisin A.M., 2002, SIBIR MATEM ZH, V43, P1271
  • [5] Gaisin A.M., 1994, IZV RAN SER MATEM, V58, P173
  • [6] Gaisin A.M., 1991, MAT SB, V182, P931, DOI [10.1070/SM1992v073n02ABEH002547, DOI 10.1070/SM1992V073N02ABEH002547]
  • [7] Gaisin AM, 2000, DOKL AKAD NAUK+, V370, P735
  • [8] GAISIN AM, 1997, MAT ZAMETKI, V61, P810
  • [9] HAYMAN WK, 1972, P LOND MATH SOC, V24, P590
  • [10] HAYMAN WK, 1978, EUSEIGN MATH, V24, P215
12