Small gaps between the set of products of at most two primes
2020 Volume 72 Issue 1 Pages 81-118
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2020 Volume 72 Issue 1 Pages 81-118
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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Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
Tokyo Sugaku-Butsurigakkwai Hokoku
Tokyo Sugaku-Butsurigaku Kwai Kiji
