| 复平面上Dirichlet级数的下级 |
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| 引用本文： | 李云霞. 复平面上Dirichlet级数的下级[J]. 云南师范大学学报(自然科学版), 2006, 26(1): 14-17 |
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| 作者姓名： | 李云霞 |
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| 作者单位： | 楚雄师范学院数学系,云南,楚雄,675000 |
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| 摘 要： | 文章研究了复平面上Dirichlet级数与随机Dirichlet级数下级的增长性，应用Newton多边形，证明了复平面上Dirichlet级数下级的增长性。对不要求同分布的随机Dirichlet级数，得到了它的下级的增长性几乎必然与其每条水平直线上的下级增长性相同。
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| 关 键 词： | Dirichlet级数 随机序列 Newton多边形 下级 |
| 文章编号： | 1007-9793(2006)01-0014-04 |
| 收稿时间： | 2005-04-17 |
| 修稿时间： | 2005-04-17 |
The Lower Order of Dirichlet Series on the Complex Plane |
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| LI Yun-xia. The Lower Order of Dirichlet Series on the Complex Plane[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2006, 26(1): 14-17 |
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| Authors: | LI Yun-xia |
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| Affiliation: | Department of Mathematics, Chuxiong Normal College, Chuxiong 675000,China |
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| Abstract: | In this paper,the lower orders of Dirichlet and random Dirichlet series is studied.We obtain some results as follows: the lower order of Dirichlet series on the complex plane is proved by the Newton polygon,and then it is proved that the lower order of random function define by nonequally distributed random Dirichlet series in every horizontal straight line is almost surely equal to the growth of function defined by their corresponding Dirichlet series. |
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| Keywords: | Dirichlet Series random subsequences Newton polygon lower order |
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