Abstract
Confronted with his contemporaries’ difficulties in understanding his very general ideas, Abel decided to present some of them in separate articles. For instance in 1829, in the paper [3], he formulated the following version of the theorem cited in extenso in the previous chapter. This version makes no reference to the “number of algebraic relations” (and therefore to the genus)
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Notes
- 1.
In the French original, I made here an untranslatable pun: “l’Abel preuve!”.
References
N.H. Abel, Démonstration d’une propriété générale d’une certaine classe de fonctions transcendantes. J. Reine Angew. Math. 4, 200–201 (1829). Republished in Œuvres complètes de Niels Henrik Abel, vol. I, ed. by L. Sylow, S. Lie (Grondahl and Son, Christiania, 1881), pp. 515–517
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Popescu-Pampu, P. (2016). A Proof by Abel. In: What is the Genus?. Lecture Notes in Mathematics(), vol 2162. Springer, Cham. https://doi.org/10.1007/978-3-319-42312-8_10
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DOI: https://doi.org/10.1007/978-3-319-42312-8_10
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