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math.NT2020
A new class of -adic Lipschitz functions and multidimensional Hensel's Lemma
Fausto Bolivar-Barbosa, Edwin León-Cardenal, J. J. Rodríguez-Vega
In this work we study -adic continuous functions in several variables taking values on . We describe the orthonormal van der Put base of these functions and study…
math.NT2016
Igusa's Local Zeta Functions and Exponential Sums for Arithmetically Non Degenerate Polynomials
Adriana A. Albarracin-Mantilla, Edwin León-Cardenal
We study the twisted local zeta function associated to a polynomial in two variables with coefficients in a non-Archimedean local field of arbitrary characteristic. Under the hypot…