Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (3): 703-708.doi: 10.1016/S0252-9602(15)30015-1

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ON ORDER AND TYPE OF MULTIPLE DIRICHLET SERIES

Meili LIANG   

  1. School of Finance, Guangdong University of Foreign Studies, Guangzhou 510006, China
  • Received:2014-05-09 Revised:2014-08-10 Online:2015-05-01 Published:2015-05-01
  • Supported by:

    Research supported by the National Natural Science Foundation of China (11101097) and Foundation for Distinguished Young Talents in Higher Education of Guangdong, China (2013LYM0027).

Abstract:

This article investigates the growth of multiple Dirichlet series. The order and the type of n-tuple Dirichlet series in Cn are defined and some relations between them and the coefficients and exponents of n-tuple Dirichlet series are obtained, which generalize some results about simple Dirichlet series of Lindelof and Pringsheim.

Key words: Multiple Dirichlet series, order, type

CLC Number: 

  • 32A12
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