Olivier Bordellès

activity

20172023

collaborators

4 papers

math.NT2023

Mean values of the product of an integer and its modular inverse

Olivier Bordellès, László Tóth

In this note, we extend to a composite modulo a recent result of Chan (2016) dealing with mean values of the product of an integer and its multiplicative inverse modulo a prime num…

math.NT2022

From the Ideal Theorem to the class number

Olivier Bordellès

In this note, we provide an explicit upper bound for $h_{K} R_{K} d_{K}^{- 1/2}$ which depends on an effective constant in the error term of the Ideal Theorem.

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.NT2017

When the number of divisors is a quadratic residue

Olivier Bordellès

Let $q > 2$ be a prime number and define $λ_{q} := (\frac{τ}{q})$ where $τ (n)$ is the number of divisors of $n$ and $(\frac{\cdot}{q})$ is the Legendre symbol…