二重 Dirichlet级数的增长性

Abstract

Abstract:

In this paper, the authors first study the relations between the coefficients, exponents, and growth of double Dirichlet series, and obtain a necessary and sufficient condition of $\theta$ linear lower order, and further give an estimate of $\theta$ linear order of double Dirichlet series in every pair of horizontal straight lines.

Key words: Double Dirichlet series, θ linear order, &theta, linear lower order, Newton multi-surface shape, Growth

CLC Number:

30B50

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LIU Jun, GAO Zong-Sheng. The Growth of Double Dirichlet Series[J].Acta mathematica scientia,Series A, 2009, 29(4): 958-968.

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References

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[3] 余家荣.狄里克莱级数与随机狄里克莱级数. 北京: 科学出版社, 1997

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The Growth of Double Dirichlet Series

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