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math.NT2015★ 22 cited
Vinogradov's three primes theorem with almost twin primes
Kaisa Matomäki, Xuancheng Shao
In this paper we prove two results concerning Vinogradov's three primes theorem with primes that can be called almost twin primes. First, for any , every sufficiently large odd…
math.NT2015
Narrow arithmetic progressions in the primes
Xuancheng Shao
We study arithmetic progressions in primes with common differences as small as possible. Tao and Ziegler showed that, for any and large, there exist non-trivial -…
math.NT2015
When the sieve works II
Kaisa Matomäki, Xuancheng Shao
For a set of primes , let be the number of positive integers all of whose prime factors lie in . In this paper we classify…