Generalized Approximation of Random Dirichlet Series in the Right Half Plane

Hong Tian-tian; Huo Ying-ying

doi:10.12052/gdutxb.210141

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Generalized Approximation of Random Dirichlet Series in the Right Half Plane

更新时间：2026-05-27

- Generalized Approximation of Random Dirichlet Series in the Right Half Plane
- Vol. 40, Issue 3, Pages: 105-112(2023)
- 作者机构：
  
  广东工业大学数学与统计学院,广东,广州,510520
- 作者简介：
- 基金信息：
- DOI：10.12052/gdutxb.210141
  CLC： O174.52
- Online First：25 May 2023，
  
  Published：2023
- 稿件说明：
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洪甜甜, 霍颖莹. 随机Dirichlet级数在右半平面的广义逼近[J]. 广东工业大学学报, 2023, 40(3): 105-112.

Hong Tian-tian, Huo Ying-ying. Generalized Approximation of Random Dirichlet Series in the Right Half Plane[J]. 2023, 40(3): 105-112.
洪甜甜, 霍颖莹. 随机Dirichlet级数在右半平面的广义逼近[J]. 广东工业大学学报, 2023, 40(3): 105-112. DOI： 10.12052/gdutxb.210141.

Hong Tian-tian, Huo Ying-ying. Generalized Approximation of Random Dirichlet Series in the Right Half Plane[J]. 2023, 40(3): 105-112. DOI： 10.12052/gdutxb.210141.

摘要

通过引入广义级和广义型的概念，利用Newton多边形，研究了半平面上用多项式逼近随机Dirichlet级数时所产生的偏差与最大模的关系，证明了系数是

$\varphi $

img text_id='M1' class='formula-img' style='display:none;' src='gdgydxxb-40-3-105_M1.jpg'>

混合序列且满足

${({\rm{MZ}}) ^*}$

img text_id='M2' class='formula-img' style='display:none;' src='gdgydxxb-40-3-105_M2.jpg'>

条件的随机Dirichlet级数的广义逼近与非随机情况一致。

Abstract

By introducing the concept of generalized order and type

and using Newton polygon

a study is conducted on the random Dirichlet series in the right half plane whose coefficients are

$\varphi $

img text_id='M3' class='formula-img' style='display:none;' src='gdgydxxb-40-3-105_M3.jpg'>

mixing random variables and satisfying the

${({\rm{MZ}}) ^*}$

img text_id='M4' class='formula-img' style='display:none;' src='gdgydxxb-40

-3-105_M4.jpg'>

condition and obtain the relationship between the maximum modulus and the error term in approximating.

关键词

Keywords

references

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