Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Small gaps between the set of products of at most two primes
Keiju Sono
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2020 年 72 巻 1 号 p. 81-118

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In this paper, we apply the methods of Maynard and Tao to the set of products of two distinct primes (𝐸2-numbers). We obtain several results on the distribution of 𝐸2-numbers and primes. Among others, the result of Goldston, Graham, Pintz and Yıldırım on small gaps between 𝑚 consecutive 𝐸2-numbers is improved.

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