Randell Heyman

activity

20132023

most citedHyperbolic summation for functions of the GCD and LCM of several integers

11 citations · 29 across the 16 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.NT2020★ 9 cited

On certain sums of arithmetic functions involving the gcd and lcm of two positive integers

Randell Heyman, László Tóth

We obtain asymptotic formulas with remainder terms for the hyperbolic summations $\sum_{mn \leq x} f ((m, n))$ and $\sum_{mn \leq x} f ([m, n])$ , where $f$ belongs to certain classes of ar…

math.NT2020

A summation involving the number of divisors function and the GCD function

Randell Heyman

Let $N$ be a positive number. We give an asymptotic formula for the sum of $τ (g cd (a, b))$ for all $a$ and $b$ with $ab \leq N$ .