2 papers
math.NT2024
Adelic Rogers' formula and an application
Mahbub Alam, Andreas Strömbergsson
Recently, Seungki Kim proved an extension of Rogers' mean value formula to the adeles of an arbitrary number field. In this paper we give a new proof Kim's formula, and give a crit…
math.NT2020
Quantitative rational approximation on spheres
Mahbub Alam, Anish Ghosh
We prove a quantitative theorem for Diophantine approximation by rational points on spheres. Our results are valid for arbitrary unimodular lattices and we further prove 'spiraling…