数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (3): 703-708.doi: 10.1016/S0252-9602(15)30015-1

• 论文 • 上一篇    下一篇

ON ORDER AND TYPE OF MULTIPLE DIRICHLET SERIES

Meili LIANG   

  1. School of Finance, Guangdong University of Foreign Studies, Guangzhou 510006, China
  • 收稿日期:2014-05-09 修回日期:2014-08-10 出版日期:2015-05-01 发布日期:2015-05-01
  • 基金资助:

    Research supported by the National Natural Science Foundation of China (11101097) and Foundation for Distinguished Young Talents in Higher Education of Guangdong, China (2013LYM0027).

ON ORDER AND TYPE OF MULTIPLE DIRICHLET SERIES

Meili LIANG   

  1. School of Finance, Guangdong University of Foreign Studies, Guangzhou 510006, China
  • Received:2014-05-09 Revised:2014-08-10 Online:2015-05-01 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).

摘要:

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.

关键词: Multiple Dirichlet series, order, type

Abstract:

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

中图分类号: 

  • 32A12