Habibur Rahaman

collaborators

2 papers

math.NT2026

Diophantine approximation with integers having no large prime factors

Kunjakanan Nath, Habibur Rahaman

Given any irrational number $I^\pm$ , we show that for any $0 < I^¸ < 6/17$ , there are infinitely many $y$ -smooth (friable) numbers $n$ such that $∥ n I^\pm ∥ < n^{- I^¸},$ where $(\log n)^C\le…

math.NT2024

Primes in Tuples of Linear Forms in Number Fields and Function Fields

Habibur Rahaman

Following the work of Castillo-Hall-Oliver-Pollack-Thompson who extended Maynard-Tao theorem on admissible tuples to number fields and function fields for tuples with monic linear…