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07/06/2023
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules
We provide two families of algorithms to compute characteristic polynomi...
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06/05/2023
A sharper multivariate Christol's theorem with applications to diagonals and Hadamard products
We provide a new proof of the multivariate version of Christol's theorem...
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04/30/2023
Drinfeld modules in SageMath
We present the first implementation of Drinfeld modules fully integrated...
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04/11/2023
Algebraic solutions of linear differential equations: an arithmetic approach
Given a linear differential equation with coefficients in ℚ(x), an impor...
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03/15/2023
Algebraic Geometry codes in the sum-rank metric
We introduce the first geometric construction of codes in the sum-rank m...
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02/15/2022
On Polynomial Ideals And Overconvergence In Tate Algebras
In this paper, we study ideals spanned by polynomials or overconvergent ...
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10/25/2021
Duals of linearized Reed-Solomon codes
We give a description of the duals of linearized Reed-Solomon codes in t...
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06/17/2021
Fast evaluation of some p-adic transcendental functions
We design algorithms for computing values of many p-adic elementary and ...
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02/10/2021
On FGLM Algorithms with Tate Algebras
Tate introduced in [Ta71] the notion of Tate algebras to serve, in the c...
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02/11/2020
Signature-based 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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08/22/2019
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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01/28/2019
Gröbner bases over Tate algebras
Tate algebras are fundamental objects in the context of analytic geometr...
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12/21/2018
Reed-Solomon-Gabidulin Codes
We introduce Reed-Solomon-Gabidulin codes which is, at the same time, an...
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06/18/2018
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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02/23/2018
ZpL: a p-adic precision package
We present a new package ZpL for the mathematical software system SM. It...
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02/06/2017
Fast multiplication for skew polynomials
We describe an algorithm for fast multiplication of skew polynomials. It...
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02/06/2017
Characteristic polynomials of p-adic matrices
We analyze the precision of the characteristic polynomial of an n× n p-a...
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01/24/2017
Computations with p-adic numbers
This document contains the notes of a lecture I gave at the "Journées Na...
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05/19/2016
Computation of the Similarity Class of the p-Curvature
The p-curvature of a system of linear differential equations in positive...
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02/03/2016