[L’uniformité quadratique de la fonction de Möbius]
On établit la conjecture « Möbius et Nilsuites » pour les nilsystèmes de rang 1 et 2. Ce papier est une partie de notre programme, dont le but est une généralisation de la méthode de Hardy-Littlewood en vue d’étudier les systèmes d’équations linéaires dans les nombres premiers.
We prove the “Möbius and Nilsequences Conjecture” for nilsystems of step 1 and 2. This paper forms a part of our program to generalise the Hardy-Littlewood method so as to handle systems of linear equations in primes.
Keywords: Quadratic uniformity, Möbius function
Mot clés : uniformité quadratique, fonction de Möbius
@article{AIF_2008__58_6_1863_0,
author = {Green, Ben and Tao, Terence},
title = {Quadratic uniformity of the {M\"obius} function},
journal = {Annales de l'Institut Fourier},
pages = {1863--1935},
publisher = {Association des Annales de l{\textquoteright}institut Fourier},
volume = {58},
number = {6},
year = {2008},
doi = {10.5802/aif.2401},
zbl = {1160.11017},
mrnumber = {2473624},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/aif.2401/}
}
TY - JOUR AU - Green, Ben AU - Tao, Terence TI - Quadratic uniformity of the Möbius function JO - Annales de l'Institut Fourier PY - 2008 SP - 1863 EP - 1935 VL - 58 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2401/ DO - 10.5802/aif.2401 LA - en ID - AIF_2008__58_6_1863_0 ER -
%0 Journal Article %A Green, Ben %A Tao, Terence %T Quadratic uniformity of the Möbius function %J Annales de l'Institut Fourier %D 2008 %P 1863-1935 %V 58 %N 6 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2401/ %R 10.5802/aif.2401 %G en %F AIF_2008__58_6_1863_0
Green, Ben; Tao, Terence. Quadratic uniformity of the Möbius function. Annales de l'Institut Fourier, Tome 58 (2008) no. 6, pp. 1863-1935. doi : 10.5802/aif.2401. http://archive.numdam.org/articles/10.5802/aif.2401/
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