Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (1): 131-138.doi: 10.1016/S0252-9602(16)30121-7

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THE LOWER ORDER AND LINEAR ORDER OF MULTIPLE DIRICHLET SERIES

Meili LIANG1, Yingying HUO2   

  1. 1. School of Finance, Guangdong University of Foreign Studies, Guangzhou 510006, China;
    2. Shool of Applied Mathematics, Guangding University of Technology, Guangzhou 510520, China
  • Received:2015-10-20 Revised:2016-01-28 Online:2017-02-25 Published:2017-02-25
  • About author:Meili LIANG,E-mail:liangmeili2004@163.com;Yingying HUO,E-mail:fs hyy@aliyun.com
  • Supported by:

    Research supported by the National Natural Science Foundation of China (11501127), Natural Science Foundation of Guangdong Province (2016A030313686), the Training Program for Outstanding Young Teachers in University of Guangdong Province (312XCQ14564) and Foundation for Distinguished Young Talents in Higher Education of Guangdong Province (2013LYM0027, 2014KQNCX068).

Abstract:

The article investigates the growth of multiple Dirichlet series. The lower order and the linear order 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.

Key words: multiple Dirichlet series, lower order, linear order

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