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| 摘要: |
| 文章首先研究了全平面上零级Dirichlet的增长性, 并给出了关于全平面上零级Dirichlet级数对数型的一个结果; 在此基础上, 进一步讨论了在不同条件下零级Dirichlet级数的Dirichlet-Hadamard乘积的增长性问题, 得到了关于级数及其Dirichlet-Hadamard 乘积的对数级与对数型的几个关系定理. |
| 关键词: 对数级 对数型 Dirichlet级数 Dirichlet-Hadamard乘积 |
| DOI： |
| 分类号:O174.55 |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| The growth of Dirichlet series and it"s Dirichlet-Hadamard product |
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Xu Hong Yan
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| Abstract: |
| In this paper, we first investigate the growth of Dirichlet series with zero order on the whole complex plane, and obtain the result about the logarithmic type of Dirichlet series. Based on these results, we further study the growth of Dirichlet-Hadamard product of Dirichlet series with zero order under different conditions, and obtain some theorems related on logarithmic order and logarithmic type about Dirichlet series and its Dirichlet-Hadamard product. |
| Key words: Logarithmic order Logarithmic type Dirichlet series Dirichlet-Hadamard product |
