| 无k次因子数的分布问题 |
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| 引用本文： | 曹晓东. 无k次因子数的分布问题[J]. 西安石油大学学报(自然科学版), 1991, 0(1) |
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| 作者姓名： | 曹晓东 |
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| 作者单位： | 北京石油化工专科学校 |
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| 摘 要： | 本文在黎曼假设下,讨论了无k次因子数分布中的余项△_k(x)估计问题,得到:当k≥29时,△_k(x)=O(X~((1/(k+5/2))+E)).
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| 关 键 词： | k-free 整数 指数偶 |
The Distribution of k-free Integers |
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| Cao Xiaodong. The Distribution of k-free Integers[J]. Journal of Xian Shiyou University, 1991, 0(1) |
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| Authors: | Cao Xiaodong |
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| Affiliation: | Beijing Petrochemical Training Schol |
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| Abstract: | Let k≥2g and Q_k(x)denote the number of k-free numbers not exceeding x, and so In this paperve sharpen △_k(x), proving Theorem. Let k≥29. On the Riemann hypothesis, then for anyε>O On the basis of Riemann hypothesis, the estimation of complementary term△_k(x)of k-free factor distribution is disceessed. When k≥2g, we have |
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| Keywords: | k-free integer exponent even number vaug |
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