3 papers
math.NT2021
Higher moment formulae and limiting distributions of lattice points
Mahbub Alam, Anish Ghosh, Jiyoung Han
We prove functional limit theorems for lattice point counting for affine and congruence lattices using the method of moments. Our main tools are higher moment formulae for Siegel t…
math.NT2020
Quantitative Diophantine approximation with congruence conditions
Mahbub Alam, Anish Ghosh, Shucheng Yu
In this short paper we prove a quantitative version of the Khintchine-Groshev Theorem with congruence conditions. Our argument relies on a classical argument of Schmidt on counting…
math.NT2019
Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation
Mahbub Alam, Anish Ghosh
The present paper is concerned with equidistribution results for certain flows on homogeneous spaces and related questions in Diophantine approximation. Firstly, we answer in the a…