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Department of Mathematical Sciences

Seminars

This week's seminars

Arithmetic Study Group: Kloosterman sums and Siegel zeros

Presented by James Maynard, Oxford

13 February 2018 14:00 in CM219

Kloosterman sums arise naturally in the study of the distribution of various arithmetic objects in analytic number theory. The 'vertical' Sato-Tate law of Katz describes their distribution over a fixed field F_p, but the 'horizontal' distribution as the base field varies over primes remains open. We describe work showing cancellation in the sum over primes if there are exceptional Siegel-Landau zeros. This is joint work with Sary Drappeau, relying on a fun blend of ideas from algebraic geometry, the spectral theory of automorphic forms and sieve theory.

Contact pankaj.vishe@durham.ac.uk or athanasios.bouganis@durham.ac.uk for more information

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.