Quadratic uniformity of the Möbius function
[L’uniformité quadratique de la fonction de Möbius]
Green, Ben ; Tao, Terence
Annales de l'Institut Fourier, Tome 58 (2008), p. 1863-1935 / Harvested from Numdam
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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.

Publié le : 2008-01-01
DOI : https://doi.org/10.5802/aif.2401
Classification:  11B99
Mots clés: uniformité quadratique, fonction de Möbius 
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     title = {Quadratic uniformity of the M\"obius function},
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     volume = {58},
     year = {2008},
     pages = {1863-1935},
     doi = {10.5802/aif.2401},
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     mrnumber = {2473624},
     language = {en},
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Green, Ben; Tao, Terence. Quadratic uniformity of the Möbius function. Annales de l'Institut Fourier, Tome 58 (2008) pp. 1863-1935. doi : 10.5802/aif.2401. http://gdmltest.u-ga.fr/item/AIF_2008__58_6_1863_0/

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