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BOREL LINES OF RANDOM DIRICHLET SERIES
作者姓名:余家荣
作者单位:Department of Mathematics,Wuhan University,Wuhan 430072,China
基金项目:the Doctoral Programme Fundation and by the National Natural Science Fundation of China
摘    要:For random Diriclilet-haelnacher, Steillhaus and N series of order (R) infinite almostsurely (a.s.), it was proved that a.s. every horizontal line is a Borel line of order (R) illfi-uite and witli a possible exceptional value6]n. In this paper f by generalized Paley-Zygmundlenru'], sonle sli11ple maPpillgs and Nevanlinlla tlieory2], we prove that for more general ran-dom Dirichlet random Dirichlet series of order (R) infinite a.s. every horizontal line is a Borelline of order (R) infi…

收稿时间:10 May 2000

BOREL LINES OF RANDOM DIRICHLET SERIES
Yu Jiarong.BOREL LINES OF RANDOM DIRICHLET SERIES[J].Acta Mathematica Scientia,2002,22(1):1-8.
Authors:Yu Jiarong
Institution:1. Department of Physics, Jnanabharathi Campus, Bangalore University, Bengaluru, India;2. Department of Physics and Material Research Centre, Maharani Science College for Women Bengaluru, India;1. College of Electronic and Information Engineering, Hebei University, Baoding 071000, China;2. College of Science, Hebei Agricultural University, Baoding 071001, China
Abstract:For some random Dirichlet series of order (R) infinite almost surely every horizontal line is a Borel line of order (R) infinite and without exceptional values.
Keywords:Random Dirichlet series  order (R)  Borel line
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