Lattice points on hyperbolic circles

Number Theory

03 March 18:15 - 19:15

Steve Lester - King's College London

The hyperbolic lattice point problem is to determine the number of translates of a given point in the complex upper half-plane by elements of a discrete subgroup of PSL_2(R) that lie within a hyperbolic circle. This may be viewed as a non-Euclidean analogue of the Gauss circle problem. In this talk I will give an overview of some results on the hyperbolic lattice point problem and will also present some recent work concerning the angular distribution of lattice points lying on hyperbolic circles. This is joint with Dimitrios Chatzakos, Pär Kurlberg, and Igor Wigman.

Pär Kurlberg
KTH Royal Institute of Technology
Lilian Matthiesen
KTH Royal Institute of Technology
Damaris Schindler
Universität Göttingen


Pär Kurlberg

Lilian Matthiesen


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