4 papers
A computational approach to Drinfeld modules
Cécile Armana, Elena Berardini, Xavier Caruso +3
This survey provides a practical and algorithmic perspective on Drinfeld modules over . Starting with the construction of the Carlitz module, we present Drinfeld mo…
The exceptional set in Cassel's theorem on small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +4
In a 1965 paper, R. Robinson made five conjectures about the classification of cyclotomic algebraic integers for which the maximum absolute value in any complex embedding (the hous…
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…
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.