Correlations of multiplicative functions
Presenter
February 2, 2017
Keywords:
- number theory
- Green-Tao Type Theorem
- multiplicative function
- Fourier coefficients of automorphic forms
MSC:
- 11N37
- 11B30
- 11F30
- 11D04
Abstract
In this talk I will discuss correlations of the form sum_{n,d < x} h_1(n) h_2(n+d) ... h_{r+1}(n+rd) (and generalisations thereof) for multiplicative functions h_1, ..., h_{r+1}. In particular, I will describe a set of conditions under which such correlations can be evaluated asymptotically and discuss one or two applications