3 papers
math.NT2026
Extreme values and logarithm laws for toral translations
Sourav Das, Anish Ghosh, Sundara Narasimhan
We study extreme values of normalized -th nearest neighbour distance functions in inhomogeneous Diophantine approximation, proving Weibull and Fréchet limit laws when the shift…
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.NT2025
Simultaneous Khintchine theorem on manifolds in positive characteristics: convergence case
Noy Soffer Aranov, Sourav Das, Arijit Ganguly +1
We prove the convergence case of Khintchine's theorem, with general approximation functions that are not necessarily monotonic, for analytic nonplanar manifolds over local fields o…