Vinogradov's theorem with almost equal summands

Kaisa Matomäki; James Maynard; Xuancheng Shao

doi:10.1112/plms.12040

Vinogradov's theorem with almost equal summands

Kaisa Matomäki, James Maynard, Xuancheng Shao

Mathematics

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

14 Scopus citations

Abstract

Let θ>11/20. We prove that every sufficiently large odd integer n can be written as a sum of three primes n=p1+p2+p3 with |pi-n/3|≤nθ for iϵ{1,2,3}.

Original language	English
Pages (from-to)	323-347
Number of pages	25
Journal	Proceedings of the London Mathematical Society
Volume	115
Issue number	2
DOIs	https://doi.org/10.1112/plms.12040
State	Published - Aug 2017

Bibliographical note

Publisher Copyright:
© 2017 London Mathematical Society.

Keywords

11B30 (primary)
11N35
11P32
11P55

ASJC Scopus subject areas

Mathematics (all)

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10.1112/plms.12040

Cite this

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title = "Vinogradov's theorem with almost equal summands",

abstract = "Let θ>11/20. We prove that every sufficiently large odd integer n can be written as a sum of three primes n=p1+p2+p3 with |pi-n/3|≤nθ for iϵ{1,2,3}.",

keywords = "11B30 (primary), 11N35, 11P32, 11P55",

author = "Kaisa Matom{\"a}ki and James Maynard and Xuancheng Shao",

note = "Publisher Copyright: {\textcopyright} 2017 London Mathematical Society.",

year = "2017",

month = aug,

doi = "10.1112/plms.12040",

language = "English",

volume = "115",

pages = "323--347",

number = "2",

}

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T1 - Vinogradov's theorem with almost equal summands

AU - Matomäki, Kaisa

AU - Maynard, James

AU - Shao, Xuancheng

PY - 2017/8

Y1 - 2017/8

N2 - Let θ>11/20. We prove that every sufficiently large odd integer n can be written as a sum of three primes n=p1+p2+p3 with |pi-n/3|≤nθ for iϵ{1,2,3}.

AB - Let θ>11/20. We prove that every sufficiently large odd integer n can be written as a sum of three primes n=p1+p2+p3 with |pi-n/3|≤nθ for iϵ{1,2,3}.

KW - 11B30 (primary)

KW - 11N35

KW - 11P32

KW - 11P55

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U2 - 10.1112/plms.12040

DO - 10.1112/plms.12040

M3 - Article

AN - SCOPUS:85026764339

SN - 0024-6115

VL - 115

SP - 323

EP - 347

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

IS - 2

ER -

Vinogradov's theorem with almost equal summands

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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