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SUMMARY:Zhenchao Ge (University of Waterloo)
DTSTART:20231017T200000Z
DTEND:20231017T210000Z
DTSTAMP:20260423T035532Z
UID:NTC/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/29/">A W
 eyl-type inequality for irreducible elements in function fields\, with app
 lications</a>\nby Zhenchao Ge (University of Waterloo) as part of Lethbrid
 ge number theory and combinatorics seminar\n\nLecture held in University o
 f Lethbridge: M1060 (Markin Hall).\n\nAbstract\nWe establish a Weyl-type e
 stimate for exponential sums over irreducible elements in function fields.
  As an application\, we generalize an equidistribution theorem of Rhin. Ou
 r estimate works for polynomials with degree higher than the characteristi
 c of the field\, a barrier to the traditional Weyl differencing method. In
  this talk\, we briefly introduce Lê-Liu-Wooley’s original argument for
  ordinary Weyl sums (taken over all elements)\, and how we generalize it t
 o estimate bilinear exponential sums with general coefficients. This is jo
 int work with Jérémy Campagne (Waterloo)\, Thái Hoàng Lê\n(Mississipp
 i) and Yu-Ru Liu (Waterloo).\n
LOCATION:https://researchseminars.org/talk/NTC/29/
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