Research

1. (with W. Badilla-Céspedes.)    F-thresholds and F-volumes of some non principal ideals. Mediterr. J. Math. 22, 98 (2025). Journal  |  SharedIt |  
2. (with J. Àlvarez Montaner, M. González Villa and L. Núñez-Betancourt.)    Bernstein-Sato polynomial and related invariants for meromorphic functions.    Trans. Amer. Math. Soc. 378 (7),(2025), 4929–4954. Journal  |
3. Archimedean zeta functions and oscillatory integrals.    p-Adic analysis, arithmetic and singularities. Contemp. Math., 778 , 3-24. Amer. Math. Soc., (2022). Journal |  
4. (with Bolivar-Barbosa F. and Rodríguez-Vega J.J.)    A new class of p-adic Lipschitz functions and multidimensional Hensel's lemma.   P-Adic Num. Ultrametr. Anal. Appl. 14, 1–13 (2022). Journal |   SharedIt |  
5. (with Zambrano-Luna B. A. and Zúñiga-Galindo W. A.)    Graphs, local zeta functions, Log-Coulomb Gases, and phase transitions at finite temperature.    J. Math. Phys. 63, 013506 (2022)    Journal  |
6. (with Martín-Morales J., Viu-Sos J. and Veys W.)    Motivic Zeta Functions on Q-Gorenstein Varieties.   Advances in Mathematics 370 (2020), Article ID 107192, 34 p.   Journal  |
7. (with Aroca F. and Gómez-Morales M.)    On Archimedean zeta functions and Newton polyhedra.    J. Math. Anal. Appl. 473 (2019), 1215-1233.    Journal  |
8. (with Albarracín-Mantilla Adriana A.)    Igusa's zeta functions and exponential sums for arithmetically non degenerate polynomials.    Journal de Théorie des Nombres de Bordeaux 30(1) (2018), 331-354.    Journal  |
9. An explicit formula for the local zeta function of a Laurent polynomial.    Journal of Number Theory 173 (2017), 230-242.    Journal  |
10. (with Luca F.)    L-polynomials of function fields and Fibonacci numbers.    Bol. Soc. Mat. Mex. (3) 21 (2015), no. 2, 163-169.    Journal.
11. (with Ibadula D. and Segers D.)    Poles of the Igusa local zeta function of some hybrid polynomials.    Finite Fields Appl. 25 (2014), 37-48.    Journal.
12. (with Zúñiga-Galindo W. A.)    Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields.    J. Math. Sci. Univ. Tokyo 20(4) (2013), 569-595.   [Erratum. Vol. 23(3) (2016), 659 – 660.]    Paper  | Erratum  |
13. (with Veys W. and Zúñiga-Galindo W. A.)    Poles of Archimedean zeta functions for analytic mappings.    J. London Math. Soc. 87(1) (2013), 1-21.    Journal  |
14. An algorithm for computing the local zeta function of a hyperelliptic curve.    Aportaciones matemáticas. Comunicaciones, 41 (2010), 23-43.    Journal.

1. (with Zúñiga-Galindo W. A.)    An Introduction to the Theory of Local Zeta Functions from Scratch.    Rev. Integr. Temas Mat. 37 (2019), no. 1, 45-76.    Journal.
2. La Gema de la Reina: Una breve revisión histórica de la ley de reciprocidad cuadrática.    Lecturas Matemáticas, 30 (2009), 17-27.    Journal.

(with J. Martín-Morales, J. Viu-Sos and W. Veys.)    On the poles of zeta functions for finite morphisms between normal surfaces.  |