O. Bordellès

activity

20162026

most citedDenominators of Bernoulli polynomials

4 citations · 12 across the 15 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.NT2021

Additive arithmetic functions meet the inclusion-exclusion principle, II

Olivier Bordellès, László Tóth

We unify in a large class of additive functions the results obtained in the first part of this work. The proof rests on series involving the Riemann zeta function and certain sums…

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…