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Mark Shusterman [HUJI-BGU Number Theory Seminar] | Einstein Institute of Mathematics

Mark Shusterman [HUJI-BGU Number Theory Seminar]

Date: 
Mon, 04/01/202116:30-18:00
The meeting will be open from 16.15 (local time) *NOTE UNUSUAL TIME* for a virtual coffee with the speaker. 

Title: Short exponential sums and their applications over function fields

Abstract:

In joint work with Will Sawin, we obtain (square-root) cancellation in quite general incomplete exponential sums for the ring F_q[x] of polynomials over a finite field. This has applications to problems in analytic number theory such as the Chowla conjecture, Bateman-Horn conjecture, and the number of real quadratic function fields with a huge class group.


Recording: https://us02web.zoom.us/rec/play/rKSR1cbZ0dnxJvyAI-ugqtBJMe24ZdoLv2fWERz...



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