Linnik's approximation to Goldbach's conjecture, and other problems

D. J. Platt; T. S. Trudgian

doi:10.1016/j.jnt.2015.01.008

Linnik's approximation to Goldbach's conjecture, and other problems

D. J. Platt, T. S. Trudgian^*

^*Corresponding author for this work

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

21 Citations (Scopus)

Abstract

We examine the problem of writing every sufficiently large even number as the sum of two primes and at most K powers of 2. We outline an approach that only just falls short of improving the current bounds on K. Finally, we improve the estimates in other Waring-Goldbach problems.

Original language	English
Pages (from-to)	54-62
Number of pages	9
Journal	Journal of Number Theory
Volume	153
DOIs	https://doi.org/10.1016/j.jnt.2015.01.008
Publication status	Published - 1 Aug 2015

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title = "Linnik's approximation to Goldbach's conjecture, and other problems",

abstract = "We examine the problem of writing every sufficiently large even number as the sum of two primes and at most K powers of 2. We outline an approach that only just falls short of improving the current bounds on K. Finally, we improve the estimates in other Waring-Goldbach problems.",

keywords = "Additive number theory, Goldbach-Waring problem, Sums of primes",

author = "Platt, {D. J.} and Trudgian, {T. S.}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

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AU - Platt, D. J.

AU - Trudgian, T. S.

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N2 - We examine the problem of writing every sufficiently large even number as the sum of two primes and at most K powers of 2. We outline an approach that only just falls short of improving the current bounds on K. Finally, we improve the estimates in other Waring-Goldbach problems.

AB - We examine the problem of writing every sufficiently large even number as the sum of two primes and at most K powers of 2. We outline an approach that only just falls short of improving the current bounds on K. Finally, we improve the estimates in other Waring-Goldbach problems.

KW - Additive number theory

KW - Goldbach-Waring problem

KW - Sums of primes

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DO - 10.1016/j.jnt.2015.01.008

M3 - Article

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VL - 153

SP - 54

EP - 62

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Linnik's approximation to Goldbach's conjecture, and other problems

Abstract

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