The Growth of Random Dirichlet Series
Received:April 15, 2006  Revised:August 28, 2006
Key Words: random Dirichlet series   order   lower order   infinite order   type function.  
Fund Project:the National Natural Science Foundation of China (No.10471048); Specialized Research Fund for the Doctoral Program of Higher Education (No.20050574002).
Author NameAffiliation
HUO Ying Ying School of Mathematics, South China Normal University, Guangdong 510631, China
College of Mathematics, Guangdong University of Technology, Guangdong 510006, China 
SUN Dao Chun School of Mathematics, South China Normal University, Guangdong 510631, China 
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Abstract:
      For a known random Dirichlet series of infinite order on the whole plane, the authors construct a Dirirchlet series such that the growth of both series referring to the type function is the same. Thus one can study the growth of the former by studying the coefficient and exponent of the latter.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.04.039
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