DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES

doi:10.1016/S0252-9602(07)60028-9

数学物理学报(英文版)

DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES

周俊英; 孙道椿

中山广播电视大学, 中山 528400

收稿日期:2004-11-23 修回日期:1900-01-01 出版日期:2007-04-20 发布日期:2007-04-20
通讯作者: 周俊英
基金资助:
Supported by the NNSF of China (10471048)

DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES

Zhou Junying; Sun Daochun

Zhongshan Radio & TV University, Zhongshan 528400, China

Received:2004-11-23 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
Contact: Zhou Junying

摘要/Abstract

摘要：

In this article, the uniqueness
theorem of Dirichlet series is proved. Then the random Dirichlet series
in the right half plane is studied, and the result that the random Dirichlet
series of finite order has almost surely(a.s.) no deficient functions is proved.

关键词: Random series, Dirichlet series, deficient polynomial, value distribution

Abstract:

Key words: Random series, Dirichlet series, deficient polynomial, value distribution

中图分类号:

60E99

周俊英; 孙道椿. DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES[J]. 数学物理学报(英文版), 2007, 27(2): 291-296.

Zhou Junying; Sun Daochun. DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES[J]. Acta mathematica scientia,Series B, 2007, 27(2): 291-296.

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DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES

DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES

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