A1 Refereed original research article in a scientific journal

Vinogradov's theorem with almost equal summands



Authors: Kaisa Matomäki, James Maynard, Xuancheng Shao

Publisher: John Wiley & Sons, Inc.

Publication year: 2017

Journal: Proceedings of the London Mathematical Society

Volume: 115

Issue: 2

First page : 323

Last page: 347

Number of pages: 25

ISSN: 0024-6115

eISSN: 1460-244X

DOI: https://doi.org/10.1112/plms.12040

Web address : http://onlinelibrary.wiley.com/doi/10.1112/plms.12040/full


Abstract

Let  θ > 11 / 20  . We prove that every sufficiently large odd integer  n  can be written as a sum of three primes  n = p 1  + p 2  + p 3    with  |  p i  − n / 3 | ⩽  n θ    for  i ∈ { 1 , 2 , 3 }  .



Last updated on 2024-26-11 at 10:48