Two Central limit theorems in Diophantine approximation

Gaurav Aggarwal; Anish Ghosh

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arXiv · 2306.02304

Two Central limit theorems in Diophantine approximation

Gaurav Aggarwal·Anish Ghosh

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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.

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Gaurav Aggarwal, Anish Ghosh. 2023-06-04. Two Central limit theorems in Diophantine approximation. https://arxiv.org/abs/2306.02304

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