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Growth of entire function represented by random Dirichlet series. (Chinese. English summary) Zbl 1150.30302

Summary: The relation between the coefficient and the growth of random Dirichlet series of infinite order was investigated in the whole plane in this paper, and it further proved that the growth of random entire function in every horizontal straight linear is almost surely equal to the growth of entire function defined by its corresponding Dirichlet series.

MSC:

30B50 Dirichlet series, exponential series and other series in one complex variable
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