S. Estala-Arias

collaborators

3 papers

math.NT2019

Discrete Measures and the Extended Riemann Hypothesis

Samuel Estala-Arias

In this work we show that the Riemann hypothesis for the Dedekind zeta--function $ζ_{K} (s)$ of an algebraic number field $K$ is equivalent to a problem of the rat…

math.AP2018

Invariant Parabolic equations and Markov process on Adéles

V. A. Aguilar-Arteaga, S. Estala-Arias

In this article a class of additive invariant positive selfadjoint pseudodifferential unbounded operators on $L^{2} (A_{f})$ , where $A_{f}$ is the ring of finite a…

math.CA2018

Harmonic Analysis on the Adèle Ring of $\Q$

Victor A. Aguilar-Arteaga, Manuel Cruz-López, Samuel Estala-Arias

The ring of finite adèles $\Af$ of the rational numbers $\Q$ is obtained in this article as a completion of $\Q$ with respect to a certain non--Archimedean metric. This ultrametric…