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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math.NT2022★ 2 cited

Estimates for $k$ -dimensional spherical summations of arithmetic functions of the GCD and LCM

Randell Heyman, László Tóth

Let $k \geq 2$ be a fixed integer. We consider sums of type $\sum_{n_{1}^{2} + \dots + n_{k}^{2} \leq x} F (n_{1}, \dots, n_{k})$ , taken over the $k$ -dimensional spherical region $\{(n_1,\ldots,n_k)\i…

math.NT2022★ 11 cited

Hyperbolic summation for functions of the GCD and LCM of several integers

Randell Heyman, László Tóth

Let $k \geq 2$ be a fixed integer. We consider sums of type $\sum_{n_{1} \dots n_{k} \leq x} F (n_{1}, \dots, n_{k})$ , taken over the hyperbolic region $\{(n_1,\ldots,n_k)\in {\Bbb N}^k: n_1\cdo…

Estimates for k-dimensional spherical summations of arithmetic functions of the GCD and LCM

Hyperbolic summation for functions of the GCD and LCM of several integers

Estimates for $k$ -dimensional spherical summations of arithmetic functions of the GCD and LCM