The pits property of entire functions defined by Dirichlet series

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.

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Bibliographic Details
Published inActa mathematica scientia Vol. 29; no. 1; pp. 83 - 93
Main Authors Lina, Shang, Zongsheng, Gao
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2009
LMIB and Department of Mathematics, Beihang University, Beijing 100083, China
Subjects
30D99
44A10
index of maximum term
maximum modulus
maximum term
Pits property
maximum term
30D99
index of maximum term
Pits property
44A10
maximum modulus
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Summary: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(09)60009-6