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SUMMARY:Mark Shusterman (Harvard University)
DTSTART:20210121T190000Z
DTEND:20210121T203000Z
DTSTAMP:20260423T024424Z
UID:NumTheory/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NumTheory/4/
 ">Short exponential sums and their applications over function fields</a>\n
 by Mark Shusterman (Harvard University) as part of CRM-CICMA Québec Vermo
 nt Seminar Series\n\nLecture held in En ligne/Web.\n\nAbstract\nIn joint w
 ork with Will Sawin\, we obtain (square-root) cancellation in quite genera
 l incomplete exponential sums for the ring F_q[x] of polynomials in one va
 riable over a finite field. This has applications to problems in analytic 
 number theory such as the Chowla conjecture\, Bateman-Horn conjecture\, an
 d the number of real quadratic function fields with a huge class group.\n
LOCATION:https://researchseminars.org/talk/NumTheory/4/
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