CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES  

作　　者：梁美丽 高宗升 

机构地区：[1]LMIB and Department of Mathematics,Beihang University

出　　处：《Acta Mathematica Scientia》2010年第5期1640-1648,共9页数学物理学报（B辑英文版）

基　　金：Supported by the National Science Foundation of China(10771011);the National Key Basic Research Project of China(2005CB321902)

摘　　要：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.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.

关 键 词：multiple Dirichlet series convergent abscissa maximal module maximal term order 

分 类 号：O173[理学—数学]