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

Friday, February 27, 2015
1:10 PM - 2:00 PM (ET)
ESC 638
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Academic Calendar
Christopher Rasmussen, x2315
Math/CS Algebra Seminar

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.

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