24 citations · 153 across the 33 of their papers we have counts for
39 papers
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules
Xavier Caruso, Antoine Leudière
We provide two families of algorithms to compute characteristic polynomials of endomorphisms and norms of isogenies of Drinfeld modules. Our algorithms work for Drinfeld modules of…
A sharper multivariate Christol's theorem with applications to diagonals and Hadamard products
Boris Adamczewski, Alin Bostan, Xavier Caruso
We provide a new proof of the multivariate version of Christol's theorem about algebraic power series with coefficients in finite fields, as well as of its extension to perfect gro…
Drinfeld modules in SageMath
David Ayotte, Xavier Caruso, Antoine Leudière +1
We present the first implementation of Drinfeld modules fully integrated in the SageMath ecosystem. First features will be released with SageMath 10.0.
Algebraic solutions of linear differential equations: an arithmetic approach
Alin Bostan, Xavier Caruso, Julien Roques
Given a linear differential equation with coefficients in , an important question is to know whether its full space of solutions consists of algebraic functions, or…
Algebraic Geometry codes in the sum-rank metric
Elena Berardini, Xavier Caruso
We introduce the first geometric construction of codes in the sum-rank metric, which we called linearized Algebraic Geometry codes, using quotients of the ring of Ore polynomials w…
Can we dream of a 1-adic Langlands correspondence?
Xavier Caruso, Agnès David, Ariane Mézard
After observing that some constructions and results in the -adic Langlands programme are somehow independent from , we formulate the hypothesis that this astonishing uniformi…