Number theory seminar
Tuesday, 12th December 2023, 2.30 pm
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Venue: Ramanujan Hall
Host: Kummari Mallesham
Speaker: Prahlad Sharma
Affiliation: Max Planck Institute for Mathematics
Title: Counting special points on quadratic surfaces.
Abstract: We show that the modern version of the circle method powered by the equidistribution of quadratic roots allows us to count special points on quadratic surfaces. For example, we obtain asymptotic for integer points on quadratic surfaces with prime coordinates and in short intervals.