Videos

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.