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Quand la concurrence — c'est-à-dire l'égoïsme — ne règnera plus dans les sciences, quand on s'associera pour étudier, au lieu d'envoyer aux académies des paquets cachetés, on s'empressera de publier ses moindres observations pour peu qu'elles soient nouvelles, et on ajoutera: «je ne sais pas le reste».

De Ste Pélagie, Xbre 1831.

Évariste Galois. ​


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reviewed Reject nontrivial theorems with trivial proofs
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revised Advice for number theory library
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answered Advice for number theory library
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answered Hilbert Class Field Galois over Q?
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comment Hilbert Class Field Galois over Q?
Take $K=\mathbf{Q}(\alpha)$, where $\alpha$ is a root of $T^3-T-1$. Then $K|\mathbf{Q}$ is not galoisian, but $H|\mathbf{Q}$ is an $\mathfrak{S}_3$-extension.
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comment Show that this ratio of factorials is always an integer
Here is a comment to a deleted answer : It might be worth mentioning Landau's theorem, digreg.mathguide.de/cgi-bin/ssgfi/… which gives this argument in a much more general setting. – Ira Gessel May 13 '13 at 19:42
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answered Are most cubic plane curves over the rationals elliptic?