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Autor:
Estala-Arias, Samuel
In this work we show that the Riemann hypothesis for the Dedekind zeta--function $\zeta_{\mathrm{K}}(s)$ of an algebraic number field $\mathrm{K}$ is equivalent to a problem of the rate of convergence of certain discrete measures defined arithmetical
Externí odkaz:
http://arxiv.org/abs/1908.03658
The ring of finite ad\`eles $\Af$ 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 allows to represent any finite ad\`ele as a series generalizing $m$
Externí odkaz:
http://arxiv.org/abs/1803.01964
Autor:
Viruez-Soto, Antonio, Arias, Samuel, Casas-Mamani, Ronnie, Rada-Barrera, Gabriel, Merino-Luna, Alfredo, Molano-Franco, Daniel, Tinoco-Solorzano, Amílcar, Marques, Danuzia A., Zubieta-DeUrioste, Natalia, Zubieta-Calleja, Gustavo, Arias-Reyes, Christian, Soliz, Jorge *
Publikováno v:
In Respiratory Physiology & Neurobiology May 2022 299
This article deals with a Markov process related to the fundamental solution of a heat equation on the direct product ring Q_S, where Q_S is a finite direct product of p-adic fields. The techniques developed here are different from the well known one
Externí odkaz:
http://arxiv.org/abs/1701.08732
Autor:
Torresblanca-Badillo, Anselmo, Bolaño-Benitez, Edwin A., Gutiérrez-García, Ismael, Estala-Arias, Samuel
Publikováno v:
Journal of Pseudo-Differential Operators & Applications; Dec2024, Vol. 15 Issue 4, p1-22, 22p
Autor:
Arias, Samuel Estala
Let K be a number field, let M be the Hilbert modular orbifold of K, and let m(q) be the probability measure uniformly supported on the cusp cross sections of M at height q. We generalize a method of Zagier and show that m(q) distributes uniformly wi
Externí odkaz:
http://arxiv.org/abs/1112.1146
Publikováno v:
Eur.Phys.J.B 10 (1999) 149-158
The interplay between the quantum interferences responsible for one particle localization over a length L_1, and the partial dephasing induced by a local interaction of strength U with another particle leading to partial delocalization over a length
Externí odkaz:
http://arxiv.org/abs/cond-mat/9808136
Publikováno v:
J. Phys. I France 7 (1997) 1071--1096
The paper describes a formulation of discrete scalar wave propagation in an inhomogeneous medium by the use of elementary processes obeying a discrete Huygens' principle and satisfying fundamental symmetries such as time-reversal, reciprocity and iso
Externí odkaz:
http://arxiv.org/abs/cond-mat/9808099
Publikováno v:
Eur.Phys.J.B3:517-534,1998
The construction of discrete scalar wave propagation equations in arbitrary inhomogeneous media was recently achieved by using elementary dynamical processes realizing a discrete counterpart of the Huygens principle. In this paper, we generalize this
Externí odkaz:
http://arxiv.org/abs/cond-mat/9808035