Acta mathematica scientia, Series B >
ON ORDER AND TYPE OF MULTIPLE DIRICHLET SERIES
Received date: 2014-05-09
Revised date: 2014-08-10
Online 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).
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
Meili LIANG . ON ORDER AND TYPE OF MULTIPLE DIRICHLET SERIES[J]. Acta mathematica scientia, Series B, 2015 , 35(3) : 703 -708 . DOI: 10.1016/S0252-9602(15)30015-1
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