Interplay of multiplicative number theory and additive combinatorics

Project description

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

• natural sciences › mathematics › pure mathematics › mathematical analysis › fourier analysis
• natural sciences › mathematics › pure mathematics › discrete mathematics › combinatorics
• natural sciences › mathematics › pure mathematics › arithmetics › prime numbers

Programme(s)

• HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA) Main Programme

Topic(s)

• HORIZON-MSCA-2021-PF-01-01 - MSCA Postdoctoral Fellowships 2021

Call for proposal

HORIZON-MSCA-2021-PF-01

See other projects for this call

Funding Scheme

HORIZON-AG-UN - HORIZON Unit Grant

Coordinator

TURUN YLIOPISTO

Net EU contribution

€ 215 534,40

Address

Yliopistonmaki
20014 Turku
Finland

Region

Manner-Suomi › Etelä-Suomi › Varsinais-Suomi

Activity type

Higher or Secondary Education Establishments

Links

Other funding

No data