| 均值定理的若干新应用 |
| |
| 引用本文： | 张明尧. 均值定理的若干新应用[J]. 中国科学技术大学学报, 1989, 19(1): 38-50 |
| |
| 作者姓名： | 张明尧 |
| |
| 作者单位： | 中国科学技术大学数学系 |
| |
| 摘 要： | 在本文中,我们应用一个简单方法并结合运用均值定理,给出对于更一般的Goldbach问题的一些应用,得到了有关解的上、下界的某些新结果。对于相当广泛的一类涉及殆素数分布的筛法问题,我们的方法仍然适用。比如,我们的方法可以对加权筛法的一般性的经典结果作类似的推广。
|
| 关 键 词： | 筛法 Goldbach猜想 殆素数 均值定理 |
Some New Applications of the Mean-Value Theorem |
| |
| Zhang Mingyao. Some New Applications of the Mean-Value Theorem[J]. Journal of University of Science and Technology of China, 1989, 19(1): 38-50 |
| |
| Authors: | Zhang Mingyao |
| |
| Affiliation: | Zhang Mingyao Department of Mathematics |
| |
| Abstract: | In this paper, applying an clementary device and the weil-known mean-value theorems to a more general Goldbach problem, the author obtain somenew results on the number of the solutions of an equation of Goldbach type.For various sieve problems about the distribution of almost-primes our meth-od is still available. For example, our method could lead to a similar genera-lization of the classical results on weighted sieve. |
| |
| Keywords: | sieve method Goldbach Conjecture almost-prime mean-value theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
