Short exponential sums and their applications over function fields
Mark Shusterman (Harvard University)
21-Jan-2021, 19:00-20:30 (3 years ago)
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 in one variable 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.
number theory
Audience: researchers in the topic
CRM-CICMA Québec Vermont Seminar Series
Series comments: En ligne/Web - Pour information, veuillez communiquer à / For details, please contact: activités@crm.umontreal.ca
Organizers: | Centre de recherches mathématiques, Flore Lubin*, Henri Darmon, Chantal David |
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