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La geometría en su contexto histórico
(Las Matemáticas y su Enseñanza 6(17):21–34, 1995 octubre, 1995-10-15)
La geometría en los sistemas de enseñanza media ha sido retomado por diversas propuestas para remozar los programas de matemáticas; y en el caso de Costa Rica, con la puesta en práctica de un programa ambicioso que destaca ...
On the Colmez conjecture for non-abelian CM fields
(2018-02-08)
The Colmez conjecture relates the Faltings height of an abelian variety with complex multiplication by the ring of integers of a CM field E to logarithmic derivatives of Artin L-functions at s=0. In this paper, we prove ...
The Chowla-Selberg formula for abelian CM fields and Faltings heights
(2016-03)
In this paper we establish a Chowla-Selberg formula for abelian CM fields. This is an identity which relates values of a Hilbert modular function at CM points to values of Euler’s gamma function Γ and an analogous function ...
Faltings heights of CM elliptic curves and special Gamma values
(2017-12)
In this paper, we evaluate the Faltings height of an elliptic curve with complex multiplication by an order in an imaginary quadratic field in terms of Euler’s Gamma function at rational arguments.
Comparative analysis of dengue versus chikungunya outbreaks in Costa Rica
(2018-06)
For decades, dengue virus has been a cause of major public health concern in Costa Rica, due to its landscape and climatic conditions that favor the circumstances in which the vector, Aedes aegypti, thrives. The emergence ...
On the one dimensional spectral Heat content for stable processes
(2016-09)
This paper provides the second term in the small time asymptotic expansion of the
spectral heat content of a rotationally invariant α-stable process, 0 < α ≤ 2, for the
bounded interval (a, b). The small time behavior ...
Improved Automatic Centerline Tracing for Dendritic and Axonal Structures
(2015-04)
Centerline tracing in dendritic structures acquired from confocal images of neurons is an essential tool for the construction of geometrical representations of a neuronal network from its coarse scale up to its fine scale ...
Propuesta de un curso teórico – práctico para la formación inicial de profesores de matemáticas: posible entorno de aprendizaje
(2016-06)
En este artículo se describe la propuesta de un curso teórico-práctico como un entorno de
aprendizaje para la formación inicial de profesores de matemática para educación secundaria.
Este curso se implementó en el 2015 ...
The Gromov’s centralizer theorem for semisimple Lie group actions
(2017-10)
We give a new version of the Gromov’s centralizer theorem in the case
of semisimple Lie group actions and arbitrary rigid geometric structures of algebraic
type.
On the Ramanujan–Lodge harmonic number expansion
(2015-01-15)
The aim of this paper is to extend and refine the Ramanujan–Lodge harmonic number expansion into negative powers of a triangular number. We construct a faster asymptotic series and some new sharp inequalities for the ...