Acta mathematica scientia,Series A ›› 2003, Vol. 23 ›› Issue (6): 735-738.

• Articles • Previous Articles     Next Articles

Entire Functions Represented by Dirichlet Series of Complex Exponents

 DENG Guan-Tie   

  1. 北京师范大学数学系 北京 100875
  • Online:2003-12-25 Published:2003-12-25
  • Supported by:

    国家自然科学基金资助项目(10071005)和教育部留学回国人员科研启动基金资助 项目

Abstract:

A necessary and sufficient condition is given for the existence of an entire function whose Dirichlet coefficients are dominated by an appropriate function, being not identicall to zero, bounded in a  horizontal strip and to be able represented  by Dirichlet series of complex exponents.

Key words: Entire function, Dirichlet series, Growth

CLC Number: 

  • 30B50
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