Bombieri-Vinogradov for general multiplicative functions
Presenter
May 5, 2017
Keywords:
- Bombieri-Vinogradov type bounds
- Siegel-Walfisz criterion
- sieve methods
- multiplicative functions
- smooth numbers
MSC:
- 11N36
- 11N37
- 11N56
- 11N64
- 11N99
Abstract
Part-and-parcel of the study of "multiplicative number theory" is the study of the distribution of multiplicative functions in arithmetic progressions. In this talk I will discuss a Bombieri-Vinogradov type theorem for multiplicative functions and develop some limitations. This is joint work with Andrew Granville.