Two Central limit theorems in Diophantine approximation
Number Theory
2023-06-06 v1 Dynamical Systems
Probability
Abstract
We prove central limit theorems for Diophantine approximations with congruence conditions and for inhomogeneous Diophantine approximations following the approach of Bj\"{o}rklund and Gorodnik. The main tools are the cumulant method and dynamics on homogeneous spaces.
Cite
@article{arxiv.2306.02304,
title = {Two Central limit theorems in Diophantine approximation},
author = {Gaurav Aggarwal and Anish Ghosh},
journal= {arXiv preprint arXiv:2306.02304},
year = {2023}
}
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40 Pages, Comments Welcome