Quadratic uniformity of the möbius function

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Abstract

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.

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Green, B., & Tao, T. (2008). Quadratic uniformity of the möbius function. Annales de l’Institut Fourier, 58(6), 1863–1935. https://doi.org/10.5802/aif.2401

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