Primitive rational points on expanding horospheres in Hilbert modular surfaces
Dynamical Systems
2019-12-10 v2 Number Theory
Abstract
In recent work by Einsiedler, Mozes, Shah and Shapira the limiting distributions of primitive rational points on expanding horospheres was examined in arbitrary dimension, and a suspended version of this result was announced. Motivated by this, we prove an analog to the announcement for primitive rational points in Hilbert modular surfaces via effective mixing.
Keywords
Cite
@article{arxiv.1901.01967,
title = {Primitive rational points on expanding horospheres in Hilbert modular surfaces},
author = {Manuel Luethi},
journal= {arXiv preprint arXiv:1901.01967},
year = {2019}
}
Comments
Corrections to Propositions 3.5 and 3.6. General improvements on exposition and notation