3 papers
math.NT2026
Statistics of divisor functions over function fields
Muhammad Afifurrahman
Extending recent works on the restricted divisor function over integers, we consider an analogue of this function over the function field. We provide some exact and asymptotic form…
math.NT2025
Multiplicatively dependent integer vectors on a hyperplane
Muhammad Afifurrahman, Valentio Iverson, Gian Cordana Sanjaya
We establish several asymptotic formulae and upper bounds for the count of multiplicatively dependent integer vectors that lie on a fixed hyperplane and have bounded height. This w…
math.NT2025
Moments of restricted divisor functions
Muhammad Afifurrahman, Chandler C. Corrigan
In this article, we study the higher-power moments of restricted divisor functions. In order to establish our main results, we prove a more general result pertaining to the distrib…