2 citations · 4 across the 4 of their papers we have counts for
4 papers
A Li-type criterion for zero-free half-planes of Riemann's zeta function
Pedro Freitas
We define a sequence of real functions which coincide with Li's coefficients at one and which allow us to extend Li's criterion for the Riemann Hypothesis to yield a necessary and…
Geometrically induced discrete spectrum in curved tubes
B. Chenaud, P. Duclos, P. Freitas +1
The Dirichlet Laplacian in curved tubes of arbitrary cross-section rotating with respect to the Tang frame along infinite curves in Euclidean spaces of arbitrary dimension is inves…
Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
P. Freitas
We show that integrals of the form \[ \dint_{0}^{1} x^{m}{\rm Li}_{p}(x){\rm Li}_{q}(x)dx, (m\geq -2, p,q\geq 1) \] and \[ \dint_{0}^{1} \frac{\ds \log^{r}(x){\rm Li}_{p}(x){\rm Li…
Instability results for the damped wave equation in unbounded domains
Pedro Freitas, David Krejcirik
We extend some previous results for the damped wave equation in bounded domains in Euclidean spaces to the unbounded case. In particular, we show that if the damping term is of the…