Michael J. Mossinghoff

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20052026

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25 citations · 47 across the 19 of their papers we have counts for

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math.NT2019

The distribution of $k$ -free numbers

Michael J. Mossinghoff, Tomás Oliveira e Silva, Tim Trudgian

Let $R_{k} (x)$ denote the error incurred by approximating the number of $k$ -free integers less than $x$ by $x / ζ (k)$ . It is well known that $R_{k} (x) = Ω (x^{\frac{1}{2 k}})$ , and widely co…

math.NT2019

A tale of two omegas

Michael J. Mossinghoff, Timothy S. Trudgian

We consider $ω (n)$ and $Ω (n)$ , which respectively count the number of distinct and total prime factors of $n$ . We survey a number of similarities and differences between these two…

The distribution of k-free numbers

A tale of two omegas

The distribution of $k$ -free numbers