L. Tóth

activity

20062026

most citedThe discrete Fourier transform of

r

-even functions

20 citations · 152 across the 37 of their papers we have counts for

collaborators

Showing 2017 · math.NTShow all

5 papers · 2 filters

math.NT2017★ 11 cited

On multivariable averages of divisor functions

László Tóth, Wenguang Zhai

We deduce asymptotic formulas for the sums $\sum_{n_{1}, \dots, n_{r} \leq x} f (n_{1} \dots n_{r})$ and $\sum_{n_{1}, \dots, n_{r} \leq x} f ([n_{1} \dots n_{r}])$ , where $r \geq 2$ is a fixed integer, $[n…

math.NT2017

Inertia, positive definiteness and $ℓ_{p}$ norm of GCD and LCM matrices and their unitary analogs

Pentti Haukkanen, László Tóth

Let $S = {x_{1}, x_{2}, \dots, x_{n}}$ be a set of distinct positive integers, and let $f$ be an arithmetical function. The GCD matrix $(S)_{f}$ on $S$ associated with $f$ is defined as the $…

math.NT2017

Menon-type identities concerning Dirichlet characters

László Tóth

Let $χ$ be a Dirichlet character (mod $n$ ) with conductor $d$ . In a quite recent paper Zhao and Cao deduced the identity $\sum_{k = 1}^{n} (k - 1, n) χ (k) = φ (n) τ (n / d)$ , which reduces to M…

math.NT2017

Expansions of arithmetic functions of several variables with respect to certain modified unitary Ramanujan sums

László Tóth

We introduce new analogues of the Ramanujan sums, denoted by $c_{q} (n)$ , associated with unitary divisors, and obtain results concerning the expansions of arithmetic func…

math.NT2017★ 10 cited

The $r$ th moment of the divisor function: an elementary approach

Florian Luca, László Tóth

Let $τ (n)$ be the number of divisors of $n$ . We give an elementary proof of the fact that $n \leq x \sum τ (n)^{r} = x C_{r} (lo g x)^{2^{r} - 1} + O (x (lo g x)^{2^{r} - 2}),$ for any integer…

On multivariable averages of divisor functions

Inertia, positive definiteness and ℓp​ norm of GCD and LCM matrices and their unitary analogs

Menon-type identities concerning Dirichlet characters

Expansions of arithmetic functions of several variables with respect to certain modified unitary Ramanujan sums

The rth moment of the divisor function: an elementary approach

Inertia, positive definiteness and $ℓ_{p}$ norm of GCD and LCM matrices and their unitary analogs

The $r$ th moment of the divisor function: an elementary approach