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DEFICIENT FUNCTIONS OF RANDOM DIRICHLET SERIES |
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| Authors: | Junying Zhou Daochun Sun |
| Affiliation: | aZhongshan Radio & TV University, Zhongshan 528400, China;bSchool of Mathematical Sciences, South China Normal University, Guangzhou 510631, China |
| Abstract: | In this article, the uniqueness theorem of Dirichlet series is proved. Then the random Dirichlet series in the right half plane is studied, and the result that the random Dirichlet series of finite order has almost surely(a.s.) no deficient functions is proved. |
| Keywords: | Random series Dirichlet series deficient polynomial value distribution |
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