University of Pecs

output

19972026

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

1.5k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2020 · math.NTShow all

3 papers · 2 filters

math.NT2020★ 9 cited

On certain sums of arithmetic functions involving the gcd and lcm of two positive integers

Randell Heyman, László Tóth

We obtain asymptotic formulas with remainder terms for the hyperbolic summations $\sum_{mn \leq x} f ((m, n))$ and $\sum_{mn \leq x} f ([m, n])$ , where $f$ belongs to certain classes of ar…

math.NT2020★ 1 cited

Another generalization of Euler's arithmetic function and Menon's identity

László Tóth

We define the $k$ -dimensional generalized Euler function $φ_{k} (n)$ as the number of ordered $k$ -tuples $(a_{1}, \dots, a_{k}) \in N^{k}$ such that $1 \leq a_{1}, \dots, a_{k} \leq n$ and both…

math.NT2020★ 2 cited

On the number of $k$ -compositions of $n$ satisfying certain coprimality conditions

László Tóth

We generalize the asymptotic estimates by Bubboloni, Luca and Spiga (2012) on the number of $k$ -compositions of $n$ satisfying some coprimality conditions. We substantially refine…

On certain sums of arithmetic functions involving the gcd and lcm of two positive integers

Another generalization of Euler's arithmetic function and Menon's identity

On the number of k-compositions of n satisfying certain coprimality conditions

On the number of $k$ -compositions of $n$ satisfying certain coprimality conditions