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Applications of Exponential Sums

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

May 02, 2017 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Will Sawin (ETH Zürich)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • exponential sums

  • Polya-Vinogradov inequality

  • trace formulas

  • Kloosterman sums

  • convolution sums

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

Sawin
Abstract

We discuss recent work, including joint with with Emmanuel Kowalski and Philippe Michel, and possibly others, where new bounds on complete exponential sums were proved, which were then applied to analytic number theory problems. We will also discuss some general heuristics for how useful complete exponential sum estimates will be for a particular problem
Supplements
28394?type=thumb Sawin Notes 640 KB application/pdf Download
Video/Audio Files

Sawin

H.264 Video 6-Sawin.mp4 448 MB video/mp4 rtsp://videos.msri.org/Sawin/6-Sawin.mp4 Download
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