Small gaps between the set of products of at most two primes

Type: Article

Publication Date: 2019-08-27

Citations: 2

DOI: https://doi.org/10.2969/jmsj/74937493

Abstract

In this paper, we apply the methods of Maynard and Tao to the set of products of two distinct primes ($E_{2}$-numbers). We obtain several results on the distribution of $E_{2}$-numbers and primes. Among others, the result of Goldston, Graham, Pintz and Yıldırım on small gaps between $m$ consecutive $E_{2}$-numbers is improved.

Locations

  • Journal of the Mathematical Society of Japan - View - PDF
  • arXiv (Cornell University) - View - PDF

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