Randell Heyman

activity

20172023

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

11 citations · 13 across the 8 of their papers we have counts for

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Showing 2021 · math.NTShow all

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math.NT2021

Primes in floor function sets

Randell Heyman

Let $x$ be a positive integer. We give an asymptotic formula for the number of primes in the set $\{\fl{x/n}, 1 \le n \le x\}$ and give some related results.

math.NT2021

A summation of the number of distinct prime divisors of the lcm

Randell Heyman

Let $x$ be a positive integer. We give an asymptotic result for $ω (lcm (m, n))$ summed over all positive integers $m$ and $n$ with $mn \leq x$ . This answers an open que…