UNIVERSITY OF IDAHODEPARTMENT OF MATHEMATICS
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| 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.
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