Solving Quintics by Radicals

Daniel Lazard (1)

1 SPACES - Solving problems through algebraic computation and efficient software

A formula is given for solving by radicals any polynomial of degree 5 which is solvable by radicals. This formula is valid on any field of characteristic different from 2 and 5. The field extension which is generated by the radicals which appear in the result is always minimal, when only one root is produced, as well as when all roots are given. This formula has been implemented in Maple.

Mots clés: solving by radicals; équation de degré cinq; equation of degree five; résolution par radicaux

Domaines: Autre [cs.OH]

Daniel Lazard. Solving Quintics by Radicals. none. The Legacy of Niels Henrik Abel, Springer, 2002. ⟨inria-00099407⟩