First Moment of Distances Between Centres of Ford Spheres
February 5, 2018
1:00 pm PGH 646
Abstract
In their 2010 paper, Chaubey et al. investigate a problem on the
distribution of Ford circles. Specifically, they take circles with
centre lying above a given horizontal line and consider moments of
distances between these centres. We extend this problem to Ford
spheres, including a new method for generating these sphere and
introducing a notion of "consecutive" for them, leading to an estimate
for the first moment in this case.
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