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Zhenchao Ge - Univsersity of Waterloo
Topic: A Weyl-type inequaltiy for irreducible elements in function fields, with applications
Date: Tuesday, October 17
Time: 2:00 - 3:00 pm
Location: Markin Hall M1060
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EVERYONE WELCOME
We establish a Weyl-type estimate for exponential sums over irreducible elements in function fields. As an application, we generalize an equidistribution theorem of Rhin. Our estimate works for polynomials with degree higher than the characteristic of the field, a barrier to the traditional Weyl differencing method. In this talk, we briefly introduce Lˆe-Liu-Wooley’s original argument for ordinary Weyl sums (taken over all elements), and how we generalize it to estimate bilinear exponential sums with general coefficients. This is joint work with J´er´emy Campagne (Waterloo), Th´ai Ho`ang Lˆe (Mississippi) and Yu-Ru Liu (Waterloo).
Organizers: F´elix Baril Boudreau and Ertan Elma
Contact:
Cherie Secrist | cherie.secrist@uleth.ca | (403) 329-2470