Mathematics & Computer Science

Seminars and Colloquia

Friday, February 27, 2015

01:10 pm - 02:00 pm

Algebra Seminar, Leo Goldmakher (Williams): "Characters and their nonresidues"

Abstract: Understanding the least quadratic nonresidue (mod p) is a classical problem, with a history stretching back to Gauss. The approach which has led to the strongest results uses character sums, objects which are ubiquitous in analytic number theory. I will discuss character sums, their connection to the least nonresidue, and some recent work of myself and Jonathan Bober (University of Bristol) on a promising new approach to the problem.

ESC 638