Recent Publications/Preprints

 

  1. Zuniga-Galindo, W.A.Parabolic Equations and Markov Processes Over $p-$adic Fields, Preprint 2006, PDF-File 

  2. Veys Willem and Zuniga-Galindo, W.A., Zeta Functions for Analytic Mappings, Log-principalization of Ideals, and Newton Polyhedra, Accepted in Trans. Amer. Math. Soc.  PDF-File 

  3. Zuniga-Galindo, W.A., Multiparametric Exponential Sums Associated with Quasi- homogeneous Mappings. Accepted in   Finite Fields Appl.PDF-File 

  4.  Zuniga-Galindo, W.A., Decay of Wave-type Pseudo-differential Equations over p-adic Fields. Publications of RIMS 42 (2006), 461-479. PDF-File  . Note :There is a gap in the proof of Theorem 4 of the published version. This   gap has been fixed  in the version available here.

  5. Zuniga-Galindo, W.A., Local Zeta function for Non-degenerate Homogeneous Mappings, Pac. J. Math. (2005), no. 1, 187-200.  PDF-File

  6. Saia M. J., Zuniga-Galindo, W.A., Local Zeta Functions for Curves, Non-degeneracy Conditions and Newton Polygons, Trans. Amer. Math. Soc. 357 (2005), no. 1,  59-88.

  7. Zuniga-Galindo, W.A., Pseudo-differential Equations Connected with p-adic Forms and  Local Zeta Functions, Bull Aust. Math. Soc. 70 (2004), 73-86.  PDF-File

  8. Zuniga-Galindo, W.A., On the Poles of Igusa’s Local Zeta Function for Algebraic Sets, Bull. London Math. Soc. 36 (2004), 310-320.

  9. Zuniga-Galindo W.A., P-adic Oscillatory Integrals and Newton Polyhedra, Dedicated to the Memory of Professor  Jairo Charris,  Rev. Acad. Colomb. Cienc. Exactas Fís. Nat. 28 (2004), no 106, 95-99.

  10. Zuniga-Galindo W.A., Local Zeta Functions and Newton Polyhedra,  Nagoya Math. J., Vol 172 (2003), 31-58. PDF-File

  11. Zuniga-Galindo W.A., Computing  Igusa’s Local Zeta Functions of Univariate Polynomials, and Linear Feedback Shift Registers,  J. Integer Seq.  Vol 6(2003), Article 03.3.6.

  12. Zuniga-Galindo W.A. Fundamental Solutions of Pseudo-differential Operators Over p-adic Fields,  Rend.  Sem. Mat. Univ. Padova Sem. Mat. Univ. Padova. 109 (2003), 241--245.

  13. Zuniga-Galindo, W. A. Exponential Sums Along p-adic Curves, Finite Fields Appl. 9 (2003), no. 2, 140--149.

  14.   Zúñiga-Galindo, W. A. Igusa's Local Zeta Functions of Semiquasihomogeneous Polynomials, Trans. Amer. Math. Soc. 353 (2001), no. 8, 3193--3207.

Last Updated February 5, 2007