Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (4): 808-815.

• Articles • Previous Articles    

Growth of Dirichlet Series of Infinite Order in the Plane

 LIU Wei-Qun,1 SUN Dao-Chun2   

  1. 1.Department of Mathematics, Jiaying University, |Guangdong Meizhou 514015; 2.Department of Mathematics, South China Normal University, Guangzhou 510631
  • Received:2010-06-02 Revised:2011-08-24 Online:2012-08-25 Published:2012-08-25

Abstract:

In this article, we study the growth of Dirichlet series of infinte order in the plane. Its order and low order by the type-function of Xiong Kin-lai and the method of Knopp-Kojima are defined, The relation between the low order of Dirichlet series and its coefficients is obtained by using the Newton polygon.

Key words: Dirichlet series, Type-fuction, Low order, Newton polynomial

CLC Number: 

  • 30D
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