Number Theory seminar

Youness Lamzouri, York University

“Large character sums"

In 1932, Paley constructed an infinite family of quadratic characters whose character sums become exceptionally large. In this talk, I will discuss my joint work with Leo Goldmakher in which we obtain analogous results for characters of any fixed order. Previously our bounds were only known under the assumption of the Generalized Riemann Hypothesis.