Acta mathematica scientia, Series B >
CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES
Received date: 2008-01-04
Online published: 2010-09-20
Supported by
Supported by the National Science Foundation of China (10771011) and the National Key Basic Research Project of China (2005CB321902).
This article investigates the convergence and growth of multiple Dirichlet series. The Valiron formula of Dirichlet series is extended to n-tuple Dirichlet series and an equivalence relation between the order of n-tuple Dirichlet series and its coefficients and exponents is obtained.
Key words： multiple Dirichlet series; convergent abscissa; maximal module; maximal term; order
LIANG Mei-Li , GAO Zong-Sheng . CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES[J]. Acta mathematica scientia, Series B, 2010 , 30(5) : 1640 -1648 . DOI: 10.1016/S0252-9602(10)60157-9
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