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Quadratic uniformity of the Möbius function

Ben Green, Terence Tao (2008)

Annales de l’institut Fourier

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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