CORDIS Project
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This project investigates patterns in prime numbers and the randomness of the Möbius function using advanced mathematical techniques. It aims to address fundamental conjectures in number theory and improve understanding of prime distributions.
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 conje…
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