Gaurav Aggarwal

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math.NT2026

Generalised Gauss--Kuzmin Distribution for Klein sails in $R^{3}$

Gaurav Aggarwal, Konstantin Andritsch

The classical Gauss--Kuzmin distribution describes the asymptotic distribution of continued fraction digits. Geometrically, this may be interpreted as the equidistribution of faces…

math.NT2026

Fine-scale statistics for $Q^{n}$

Gaurav Aggarwal, Anish Ghosh, Jens Marklof

We study the distribution of rational points in $R^{n}$ , with denominators restricted to the interval $[Q - Δ, Q]$ , and $Q, Δ \to \infty$ such that $Δ/ Q \to 0$ . Previous results i…

math.NT2026

Effective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximation

Gaurav Aggarwal, Sourav Das, Anish Ghosh

In this paper, we prove a central limit theorem for inhomogeneous Diophantine approximation with a fixed shift, provided the shift is non-Liouville. This generalizes earlier work o…

math.NT2023

Two Central limit theorems in Diophantine approximation

Gaurav Aggarwal, Anish Ghosh

We prove central limit theorems for Diophantine approximations with congruence conditions and for inhomogeneous Diophantine approximations following the approach of Björklund and G…

Generalised Gauss--Kuzmin Distribution for Klein sails in R3

Fine-scale statistics for Qn

Effective multi-equidistribution for translates of unipotent flows and Central limit theorems in inhomogeneous Diophantine approximation

Two Central limit theorems in Diophantine approximation

Generalised Gauss--Kuzmin Distribution for Klein sails in $R^{3}$

Fine-scale statistics for $Q^{n}$