ERC Starting Grant · 2024
Analytic number theory and higher order Fourier analysis
Many of the central problems in analytic number theory concern the existence of patterns in the primes or the randomness properties of the Möbius function. The aim of this proposal is to make progress on such questions, using in particular methods from higher order Fourier analysis. Two fundamental conjectures about randomness of the Möbius function are the Chowla and Sarnak conjectures. This proposal aims to make progress on these conjectures and their variants, in particular by studying a conjecture on higher order uniformity of the Möbius function that is closely tied to these problems. Regarding patterns in the primes, the approach in this proposal is to establish new Gowers norm…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.