
Fast evaluation of some padic transcendental functions
We design algorithms for computing values of many padic elementary and ...
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On FGLM Algorithms with Tate Algebras
Tate introduced in [Ta71] the notion of Tate algebras to serve, in the c...
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Signaturebased algorithms for Gröbner bases over Tate algebras
Introduced by Tate in [Ta71], Tate algebras play a major role in the con...
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Residues of skew rational functions and linearized Goppa codes
This paper constitutes a first attempt to do analysis with skew polynomi...
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Gröbner bases over Tate algebras
Tate algebras are fundamental objects in the context of analytic geometr...
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ReedSolomonGabidulin Codes
We introduce ReedSolomonGabidulin codes which is, at the same time, an...
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Fast Coefficient Computation for Algebraic Power Series in Positive Characteristic
We revisit Christol's theorem on algebraic power series in positive char...
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ZpL: a padic precision package
We present a new package ZpL for the mathematical software system SM. It...
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Fast multiplication for skew polynomials
We describe an algorithm for fast multiplication of skew polynomials. It...
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Characteristic polynomials of padic matrices
We analyze the precision of the characteristic polynomial of an n× n pa...
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Computations with padic numbers
This document contains the notes of a lecture I gave at the "Journées Na...
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Computation of the Similarity Class of the pCurvature
The pcurvature of a system of linear differential equations in positive...
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Division and Slope Factorization of pAdic Polynomials
We study two important operations on polynomials defined over complete d...
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Xavier Caruso
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