MATHEMATICA BOHEMICA, Vol. 137, No. 1, pp. 65-77, 2012

The growth of a class of random Dirichlet series on the horizontal zone

Zhendong Gu, Daochun Sun

Zhendong Gu, School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, People's Republic of China, e-mail: guzhd@qq.com; Daochun Sun, School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China, e-mail: 1457330943@qq.com, sundch@scnu.edu.cn

Abstract: In the paper we obtain that, under some condition, the Rademacher-Dirichlet series or the Steinhaus-Dirichlet series on the whole plane and on the horizontal zone almost surely have the same growth.

Keywords: random Dirichlet series, Rademacher-Dirichlet series, Steinhaus-Dirichlet series, growth

Classification (MSC 2010): 30B20


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