2 papers
math.NT2023
Computing -th roots in number fields
Olivier Bernard, Pierre-Alain Fouque, Andrea Lesavourey
We describe several algorithms for computing -th roots of elements in a number field , where is an odd prime-power integer. In particular we generalize Couveignes' and Th…
math.NT2021
A short basis of the Stickelberger ideal of a cyclotomic field
Olivier Bernard, Radan Kučera
We exhibit an explicit short basis of the Stickelberger ideal of cyclotomic fields of any conductor , i.e., a basis containing only short elements. By definition, an element of…