University of Pecs

output

19972026

most citedAncient human genomes suggest three ancestral populations for present-day Europeans

1.5k citations

researchers with a paper here

collaborating institutions

Showing 2017 · math.NTShow all

4 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★ 8 cited

Ramanujan expansions of arithmetic functions of several variables

László Tóth

We generalize certain recent results of Ushiroya concerning Ramanujan expansions of arithmetic functions of two variables. We also show that some properties on expansions of arithm…

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

Ramanujan expansions of arithmetic functions of several variables

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