CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES

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

Abstract

Abstract:

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

CLC Number:

32A05

Cite this article

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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URL: http://actams.apm.ac.cn/sxwlxbB/EN/10.1016/S0252-9602(10)60157-9

http://actams.apm.ac.cn/sxwlxbB/EN/Y2010/V30/I5/1640

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References

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