37 citations · 69 across the 5 of their papers we have counts for
5 papers
The computation of , 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…
Tilings of the infinite -ary tree and Cantor homeomorphisms
Alberto Cobos, Luis M. Navas
We define a notion of tiling of the full infinite -ary tree, establishing a series of equivalent criteria for a subtree to be a tile, each of a different nature; namely, geometr…
Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
Ó. Ciaurri, L. Roncal, P. R. Stinga +2
The analysis of nonlocal discrete equations driven by fractional powers of the discrete Laplacian on a mesh of size \[ (-Δ_h)^su=f, \] for , $0…
A simple computation of by using Bernoulli polynomials and a telescoping series
Ó. Ciaurri, L. M. Navas, F. J. Ruiz +1
We present a new proof of Euler's formulas for , where , which uses only the defining properties of the Bernoulli polynomials, obtaining the value of …
Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials
Luis M. Navas, Francisco J. Ruiz, Juan L. Varona
We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials in detail. The starting point is their Fourier series on which, it is shown,…