Hyperbolic Summation for Fractional Sums

Meselem Karras, Ling Li, Joshua Stucky

Let $f(n)$ be an arithmetic function with $f(n)\ll n^{\alpha }$ for some $\alpha \in [0,1)$ and let $\lfloor .\rfloor$ denote the integer part function. In this paper, we evaluate asymptoticall…