Óscar Ciaurri

collaborators

2 papers

math.NT2023

The computation of $ζ (2 k)$ , $β (2 k + 1)$ and beyond by using telescoping series

Óscar Ciaurri, Luis M. Navas, Francisco J. Ruiz +1

We present some simple proofs of the well-known expressions for \[ ζ(2k) = \sum_{m=1}^\infty \frac{1}{m^{2k}}, \qquad β(2k+1) = \sum_{m=0}^\infty \frac{(-1)^m}{(2m+1)^{2k+1}}, \] w…

math.FA2012

The Bochner-Riesz means for Fourier-Bessel expansions: norm inequalities for the maximal operator and almost everywhere convergence

Ó. Ciaurri, L. Roncal

In this paper, we develop a thorough analysis of the boundedness properties of the maximal operator for the Bochner-Riesz means related to the Fourier-Bessel expansions. For this o…

The computation of ζ(2k), β(2k+1) and beyond by using telescoping series

The Bochner-Riesz means for Fourier-Bessel expansions: norm inequalities for the maximal operator and almost everywhere convergence

The computation of $ζ (2 k)$ , $β (2 k + 1)$ and beyond by using telescoping series