The general Goldbach problem with Beatty primes

R. C. Vaughan

doi:10.1007/s11139-013-9501-3

The general Goldbach problem with Beatty primes

R. C. Vaughan

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	347-359
Number of pages	13
Journal	Ramanujan Journal
Volume	34
Issue number	3
DOIs	https://doi.org/10.1007/s11139-013-9501-3
State	Published - Aug 2014

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s11139-013-9501-3

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title = "The general Goldbach problem with Beatty primes",

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author = "Vaughan, {R. C.}",

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AB - 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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The general Goldbach problem with Beatty primes

Abstract

All Science Journal Classification (ASJC) codes

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