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Moments of quadratic Dirichlet L-functions in function fields

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

February 02, 2017 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Alexandra Florea (Stanford University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • quadratic Dirichlet L-functions

  • function fields

  • hyperelliptic ensemble

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

Moments Of Quadratic Dirichlet L-Functions In Function Fields

Abstract

I will talk about the moments of the family of quadratic Dirichlet L-functions over function fields. Fixing the finite field and letting the genus of the family go to infinity, I will explain how to obtain asymptotic formulas for the first four moments in the hyperelliptic ensemble

Supplements
27890?type=thumb Florea Notes 176 KB application/pdf Download
Video/Audio Files

Moments Of Quadratic Dirichlet L-Functions In Function Fields

H.264 Video 04-Florea.mp4 589 MB video/mp4 rtsp://videos.msri.org/data/000/027/791/original/04-Florea.mp4 Download
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