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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: SLMath: Eisenbud Auditorium
Tags/Keywords

  • 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
Video

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

Shao

H.264 Video 16-Shao.mp4 450 MB video/mp4 rtsp://videos.msri.org/Shao/16-Shao.mp4 Download
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