We give a characterization of monic polynomials with coefficients in the ring of integers of a Galois number field having all of their roots on the unit circle. Such a characterization is given in terms of finitely many sum of…

In this article we prove that it is possible to construct, using newest-vertex bisection, meshes that equidistribute the error in $H^1$-norm, whenever the function to approximate can be decomposed as a sum of a regular part plus a singular part…

We prove that for each $n\geq 4$ there is an analytic function
$F_n(x)$ satisfying an algebraic differential equation of degree
$n+1$ such that the logarithmic Mahler measure of the linear form
$\lf_n=x_1+\cdots + x_n$ can be essentially computed as…

In this paper we study boundedness properties of certain harmonic analysis operators (maximal operators for heat and Poisson semigroups, Riesz transform and Littlewood-Paley g-functions) associated with Bessel operators, on the space BMO_o (R) that consists of the odd functions with…

A numerical algorithm based on the Complex Variable Boundary Element Method (CVBEM) for plane incompress- ible potential flow around aerofoils and cascades is described. The method is based on the representation of the complex disturbance velocity by means of a…