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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2 papers · 1 filter

math.NT2023

On some floor function sets

Randell Heyman, MD Rahil Miraj

Let $X$ be a positive integer and $t$ a real number great than 1. The family of sets ${⌊ \frac{X}{n ^{t}} ⌋ : 1 \leq n \leq X}$ have an interesting prim…

math.NT2023

Sparse sets that satisfy the prime number theorem

Olivier Bordellès, Randell Heyman, Dion Nikolic

We investigate various sparse sets that satisfy the prime number theorem. The sparsest of these sets, ${⌊ x / n^{t} ⌋ : n \leq x}$ , has density approaching $1/ x$ as $t$ appr…