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。
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.
关键词
GOLDBACH猜想
均值定理
筛法
sieve method
Goldbach Conjecture
almost-prime
mean-value theorem
