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 2014Show all

2 papers · 1 filter

math.NT2014★ 1 cited

Counting tuples restricted by coprimality conditions

Juan Arias de Reyna, Randell Heyman

Given a set $A = {(i_{1}, j_{1}), \dots, (i_{m}, j_{m})}$ we say that $(a_{1}, \dots, a_{v})$ exhibits pairwise coprimality if $g cd (a_{i}, a_{j}) = 1$ for all $(i, j) \in A$ . For a given positive $x$ we…

math.NT2014

On the Greatest Common Divisor of Shifted Sets

Randell Heyman, Igor E. Shparlinski

Given a set of $n$ positive integers ${a_{1}, \dots, a_{n}}$ and an integer parameter $H$ we study small additive shifts of its elements by integers $h_{i}$ with $∣ h_{i} ∣ \leq H$ , $i =1,…