Démonstration de l'impossibilité de la résolution algébrique des équations générales qui passent le quatrième degré

By N. H. Abel, L. Sylow, S. Lie. 2012

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Bernhard Schölkopf
2. Wotao Yin
3. Yoshua Bengio
4. Giambattista Parascandolo
5. Stanley J. Osher
6. Niki Kilbertus
7. Lei Zhang
8. Francis R. Bach

Citations in the corpus

• Generalization in anti-causal learning (2018, background): “The Abel-Ruffini theorem states that general polynomial equations of degree greater than 4 do not have an algebraic solution, i.e., one that can be found by a fixed finite sequence of algebraic computations (Abel, 1826).”
• JFB: Jacobian-Free Backpropagation for Implicit Networks (2021, background): “As is well-known, the solution of a quintic equation cannot be expressed as a function of the coefficients using only the operations of addition, subtraction, multiplication, division and taking roots (Abel 1826).”