论文标题

通过概率法的筛分方法和质量差距

Sieve Method and Prime Gaps via Probabilistic Method

论文作者

Su, Buxin

论文摘要

在过去的几个世纪中,使用分析或代数数理论的工具证明了大多数主要差距结果。在本文中,我们想提出一些证明许多基本结果的概率方式。证明的主要组成部分是筛子方法的概率方法。此外,我们讨论了他们与张和梅纳德(Maynard)最近的作品的联系,这些差距的大小差距很小。

Most prime gaps results have been proven using tools from analytic or algebraic number theory in the last few centuries. In this paper, we would like to present some probabilistic way of proving many essential results. A major component of the proof is a probabilistic approach to the sieve method. In addition, we discuss their connections with recent work by Zhang and Maynard on small and large gaps in prime numbers.

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