3 papers
math.NT2026
Generalised Gauss--Kuzmin Distribution for Klein sails in
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
Gaurav Aggarwal, Anish Ghosh, Jens Marklof
We study the distribution of rational points in , with denominators restricted to the interval , and such that . Previous result…
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…