Title: Weyl sums and equidistribution in number theory
Speaker: Prof. Sheng-Chi Liu (Washington State University)
Time: 2017-5-15, 16:00-17:15
Place: MCM;610
Abstract: In this talk, we will introduce Weyl sums and explain the connection between Weyl sums and equidistribution problems in number theory. We will then discuss various methods for estimating Weyl sums and their applications. In particular, we will give an estimate of quadratic Weyl sums by using the spectral theory of automorphic forms. Such Weyl sums are related to the equidistribution of quadratic roots. This is joint work with Riad Masri.
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