Acta mathematica scientia,Series B

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THE PITS PROPERTY OF ENTIRE FUNCTIONS DEFINED BY DIRICHLET SERIES

Shang Lina; Gao Zongsheng   

  1. 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

Abstract:

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.

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

CLC Number: 

  • 30D99
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