Exploring links between multiplicative number theory and additive combinatorics
Multiplicative number theory is an area of number theory dealing with prime numbers and multiplicative functions. One of the great open questions in the field is Chowla's conjecture, which states that the prime factorizations of consecutive numbers should behave independently of each other. Funded by the Marie Skłodowska-Curie Actions programme, the MultNT project aims to more thoroughly study Chowla’s conjecture, as well as other key questions in multiplicative number theory. This project will also explore connections between Chowla’s conjecture and additive combinatorics and higher-order Fourier analysis. Furthermore, MultNT will focus on the Hardy-Littlewood conjecture on average and the Hasse principle for almost all surfaces of a certain type.
Fields of science
- HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA) Main Programme