Mathematical Sciences Research Institute

Home » Workshop » Schedules » Bombieri-Vinogradov for general multiplicative functions

Bombieri-Vinogradov for general multiplicative functions

Recent developments in Analytic Number Theory May 01, 2017 - May 05, 2017

May 05, 2017 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Fernando Shao (University of Oxford)
Location: MSRI: Simons Auditorium
  • Bombieri-Vinogradov type bounds

  • Siegel-Walfisz criterion

  • sieve methods

  • Multiplicative functions

  • smooth numbers

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



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.

28404?type=thumb Shao Notes 1.43 MB application/pdf Download
Video/Audio Files


H.264 Video 16-Shao.mp4 450 MB video/mp4 rtsp://videos.msri.org/data/000/028/334/original/16-Shao.mp4 Download
Troubles with video?

Please report video problems to itsupport@msri.org.

See more of our Streaming videos on our main VMath Videos page.