The general Goldbach problem with Beatty primes

In this paper, we are concerned with the representation of large positive integers as the sum of a fixed number of prime numbers taken from Beatty sequences. We are able to avoid any conditions on the Beatty sequences that they be of finite type which have been required hitherto. We use a form of the Hardy-Littlewood-Vinogradov method, but the proofs are quite delicate.

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Work Title The general Goldbach problem with Beatty primes
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Open Access
Creators
  1. R. C. Vaughan
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Ramanujan Journal
Publication Date August 1, 2014
Publisher Identifier (DOI)
  1. https://doi.org/10.1007/s11139-013-9501-3
Deposited November 17, 2021

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