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

Producción científica: Article › revisión exhaustiva

21 Citas (Scopus)

Resumen

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}.

Idioma original	English
Páginas (desde-hasta)	323-347
Número de páginas	25
Publicación	Proceedings of the London Mathematical Society
Volumen	115
N.º	2
DOI	https://doi.org/10.1112/plms.12040
Estado	Published - ago 2017

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Publisher Copyright:
© 2017 London Mathematical Society.

ASJC Scopus subject areas

General Mathematics

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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",

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doi = "10.1112/plms.12040",

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AU - Matomäki, Kaisa

AU - Maynard, James

AU - Shao, Xuancheng

PY - 2017/8

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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

UR - https://www.scopus.com/pages/publications/85026764339

UR - https://www.scopus.com/pages/publications/85026764339#tab=citedBy

U2 - 10.1112/plms.12040

DO - 10.1112/plms.12040

M3 - Article

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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

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