L. Tóth

activity

20062021

most citedMenon's identity and arithmetical sums representing functions of several variables

41 citations · 155 across the 25 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.NT2011

A survey of the alternating sum-of-divisors function

László Tóth

We survey arithmetic and asymptotic properties of the alternating sum-of-divisors function $β$ defined by $β (p^{a}) = p^{a} - p^{a - 1} + p^{a - 2} - ... + (- 1)^{a}$ for every prime power $p^{a}$ ($a\ge…

math.NT2011★ 2 cited

Sums of products of Ramanujan sums

László Tóth

The Ramanujan sum $c_{n} (k)$ is defined as the sum of $k$ -th powers of the primitive $n$ -th roots of unity. We investigate arithmetic functions of $r$ variables defined as certain su…

math.NT2011★ 41 cited

Menon's identity and arithmetical sums representing functions of several variables

László Tóth

We generalize Menon's identity by considering sums representing arithmetical functions of several variables. As an application, we give a formula for the number of cyclic subgroups…