THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES

doi:10.1016/S0252-9602(09)60009-6

数学物理学报(英文版)

THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES

尚丽娜；高宗升

LMIB and Department of Mathematics, Beihang University, Beijing 100083, China

收稿日期:2006-09-20 修回日期:1900-01-01 出版日期:2009-02-20 发布日期:2009-02-20
通讯作者: 尚丽娜
基金资助:
The work is supported by National Basic Research Program of China (973
Program, 2005CB321902) and National Natural Science Foundation of China (10771011)

THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES

Shang Lina; Gao Zongsheng

LMIB and Department of Mathematics, Beihang University, Beijing 100083, China

Received:2006-09-20 Revised:1900-01-01 Online:2009-02-20 Published:2009-02-20
Contact: Shang Lina

摘要/Abstract

摘要：

The value distribution of entire functions defined by Dirichlet series are studied
in this present article. It is proved that entire functions defined by Dirichlet series have the pits property, which improve the relative results on lacunary Taylor series obtained by Littlewood J.E. and Offord A.C.

关键词: Pits property, maximum modulus, maximum term, index of maximum term

Abstract:

Key words: Pits property, maximum modulus, maximum term, index of maximum term

中图分类号:

30D99

尚丽娜;高宗升. THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES[J]. 数学物理学报(英文版), 2009, 29(1): 83-93.

Shang Lina; Gao Zongsheng. THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES[J]. Acta mathematica scientia,Series B, 2009, 29(1): 83-93.

THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES

THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES

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