CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES

doi:10.1016/S0252-9602(10)60157-9

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1640-1648.doi: 10.1016/S0252-9602(10)60157-9

CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES

梁美丽, 高宗升

LMIB and Department of Mathematics, Beihang University, Beijing 100083, China

收稿日期:2008-01-04 出版日期:2010-09-20 发布日期:2010-09-20
基金资助:
Supported by the National Science Foundation of China (10771011) and the National Key Basic Research Project of China (2005CB321902).

CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES

LIANG Mei-Li, GAO Zong-Sheng

LMIB and Department of Mathematics, Beihang University, Beijing 100083, China

Received:2008-01-04 Online:2010-09-20 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).

摘要/Abstract

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.

关键词: multiple Dirichlet series, convergent abscissa, maximal module, maximal term, order

Abstract:

Key words: multiple Dirichlet series, convergent abscissa, maximal module, maximal term, order

中图分类号:

32A05

梁美丽, 高宗升. CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES[J]. 数学物理学报(英文版), 2010, 30(5): 1640-1648.

LIANG Mei-Li, GAO Zong-Sheng. CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES[J]. Acta mathematica scientia,Series B, 2010, 30(5): 1640-1648.

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CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES

CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES

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