17 citations · 30 across the 7 of their papers we have counts for
7 papers
On non-archimedean frames
Francisco Ávila, Miriam Bocardo-Gaspar, Julio Urenda +1
In this investigation, we introduce the class of non-archimedean frames in spirit with the topological notion of non-archimedean spaces. We explore various properties of these fram…
Local Zeta Functions and Koba-Nielsen String Amplitudes
M. Bocardo-Gaspar, H. García-Compeán, Edgar Y. López +1
This article is a survey of our recent work on the connections between Koba-Nielsen amplitudes and local zeta functions (in the sense of Gel'fand, Weil, Igusa, Sato, Bernstein, Den…
Poles of Non-Archimedean Zeta Functions for Non-degenerate Rational Functions
M. Bocardo-Gaspar
In this article, we study local zeta functions over non-Archimedean locals fields of arbitrary characteristic attached to rational functions and characters of the units of the…
Meromorphic Continuation of Koba-Nielsen String Amplitudes
M. Bocardo-Gaspar, Willem Veys, W. A. Zúñiga-Galindo
In this article, we establish in a rigorous mathematical way that Koba-Nielsen amplitudes defined on any local field of characteristic zero are bona fide integrals that admit merom…
On -adic string amplitudes in the limit approaches to one
M. Bocardo-Gaspar, H. García-Compeán, W. A. Zúñiga-Galindo
In this article we discuss the limit approaches to one of tree-level -adic open string amplitudes and its connections with the topological zeta functions. There is empirical…
Local Zeta Functions for Rational Functions and Newton Polyhedra
Miriam Bocardo-Gaspar, W. A. Zúñiga-Galindo
In this article, we introduce a notion of non-degeneracy, with respect to certain Newton polyhedra, for rational functions over non-Archimedean locals fields of arbitrary character…
Regularization of p-adic String Amplitudes, and Multivariate Local Zeta Functions
Miriam Bocardo-Gaspar, H. García-Compeán, W. A. Zúñiga-Galindo
We prove that the p-adic Koba-Nielsen type string amplitudes are bona fide integrals. We attach to these amplitudes Igusa-type integrals depending on several complex parameters and…