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Number Theory Seminar

The metric theory of the pair correlation function

Niclas Technau (Caltech)

Location:  Zoom
Date & time: Tuesday, 16 November 2021 at 2:30PM - 3:30PM

Abstract: The talk concerns the fine-scale equidistribution of classical sequences.
After motivating and contextualising what a pair correlation function of a sequence is,
we report on recent joint work with Zeev Rudnick on its probabilistic theory.
That work is based on a mixture of harmonic analysis, simple facts about Dirichlet polynomials,
and Diophantine approximation on manifolds.

For zoom information please email chris.lutsko

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