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Correlations of multiplicative functions

Connections for Women: Analytic Number Theory February 02, 2017 - February 03, 2017

February 02, 2017 (09:15 AM PST - 10:15 AM PST)
Speaker(s): Lilian Matthiesen (Royal Institute of Technology (KTH))
Location: MSRI: Simons Auditorium
Tags/Keywords
  • number theory

  • Green-Tao Type Theorem

  • multiplicative function

  • Fourier coefficients of automorphic forms

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

Correlations Of Multiplicative Functions

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

Supplements
27887?type=thumb Matthiesen Notes 221 KB application/pdf Download
Video/Audio Files

Correlations Of Multiplicative Functions

H.264 Video 01-Matthiesen.mp4 292 MB video/mp4 rtsp://videos.msri.org/data/000/027/780/original/01-Matthiesen.mp4 Download
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