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 2017Show all

4 papers · 1 filter

math.NT2017

On the error term of a lattice counting problem, II

Olivier Bordellès

Under the Riemann Hypothesis, we improve the error term in the asymptotic formula related to the counting lattice problem studied in a first part of this work. The improvement come…

math.NT2017★ 4 cited

Denominators of Bernoulli polynomials

Olivier Bordellès, Florian Luca, Pieter Moree +1

For a positive integer $n$ let $P_{n} = \prod_{s_{p} (n) \geq p} p,$ where $p$ runs over all primes and $s_{p} (n)$ is the sum of the base $p$ digits of $n$ . For all $n$ we prove th…

math.NT2017

On a conjecture of B. C. Kellner

Olivier Bordellès

The aim of this note is a proof of a recent conjecture of Kellner concerning the number of distinct prime factors of a particular product of primes. The proof uses profound results…

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…