一般随机Dirichlet级数所表示的整函数

Abstract

Abstract:

The growth and value distribution of the entire function expressed by a general Random Dirichlet series are studied in this paper. Theimportant results are obtained under suitable conditions: the order of growth in a horizontal strip or on a line are the same as the whole plane a.s., for the Random Dirichlet series with order ρ(0＜ρ＜∞),there is at least a Borel line of order ρ without finite exceptional value in every horizontal strip of width \$[SX(]π[]ρ[SX)]\$ a.s..

Key words: Random Dirichlet series； The order of growth； The value distribution

CLC Number:

30B50

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TIAN Fan-Ji, LIN Ti-Feng-. The Entire Function Expressed by a GeneralRandom Dirichlet Series[J].Acta mathematica scientia,Series A, 2004, 4(5): 564-571.

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The Entire Function Expressed by a GeneralRandom Dirichlet Series

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