A density version of Vinogradov's three primes theorem

Hongze Li; Hao Pan

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A density version of Vinogradov's three primes theorem

Hongze Li·Hao Pan

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Abstract

Let P denote the set of all primes. Suppose that P_1, P_2, P_3 are three subsets of P with the sum of their lower densities relative to P is greater than 2. We prove that for sufficiently large odd integer n, there exist p_i\in P_i such that n=p_1+p_2+p_3.

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Hongze Li, Hao Pan. 2008-12-06. A density version of Vinogradov's three primes theorem. https://arxiv.org/abs/math/0701240

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