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15 February 2014 A density version of the Vinogradov three primes theorem
Xuancheng Shao
Duke Math. J. 163(3): 489-512 (15 February 2014). DOI: 10.1215/00127094-2410176

Abstract

We prove that if A is a subset of the primes, and the lower density of A in the primes is larger than 5/8, then all sufficiently large odd positive integers can be written as the sum of three primes in A. The constant 5/8 in this statement is the best possible.

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Xuancheng Shao. "A density version of the Vinogradov three primes theorem." Duke Math. J. 163 (3) 489 - 512, 15 February 2014. https://doi.org/10.1215/00127094-2410176

Information

Published: 15 February 2014
First available in Project Euclid: 11 February 2014

zbMATH: 1330.11062
MathSciNet: MR3165421
Digital Object Identifier: 10.1215/00127094-2410176

Subjects:
Primary: 11P32
Secondary: 11D85

Rights: Copyright © 2014 Duke University Press

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Vol.163 • No. 3 • 15 February 2014
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