University of Pecs

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19972026

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

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math.NT2021★ 4 cited

Proofs, generalizations and analogs of Menon's identity: a survey

László Tóth

Menon's identity states that for every positive integer $n$ one has $\sum (a - 1, n) = φ (n) τ (n)$ , where $a$ runs through a reduced residue system (mod $n$ ), $(a - 1, n)$ stands for the…

math.NT2021★ 2 cited

Menon-type identities concerning subsets of the set ${1, 2, \dots, n}$

László Tóth

We prove certain Menon-type identities associated with the subsets of the set ${1, 2, \dots, n}$ and related to the functions $f$ , $f_{k}$ , $Φ$ and $Φ_{k}$ , defined and investigated by…

math.NT2021★ 3 cited

Additive arithmetic functions meet the inclusion-exclusion principle: Asymptotic formulas concerning the GCD and LCM of several integers

Olivier Bordellès, László Tóth

We obtain asymptotic formulas for the sums $\sum_{n_{1}, \dots, n_{k} \leq x} f ((n_{1}, \dots, n_{k}))$ and $\sum_{n_{1}, \dots, n_{k} \leq x} f ([n_{1}, \dots, n_{k}])$ involving the gcd and lcm of the i…

Proofs, generalizations and analogs of Menon's identity: a survey

Menon-type identities concerning subsets of the set {1,2,…,n}

Additive arithmetic functions meet the inclusion-exclusion principle: Asymptotic formulas concerning the GCD and LCM of several integers

Menon-type identities concerning subsets of the set ${1, 2, \dots, n}$