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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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awarded  Inquisitive
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awarded  Curious
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awarded  Nice Answer
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awarded  Necromancer
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awarded  Nice Question
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awarded  Nice Answer
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reviewed Reject suggested edit on nontrivial theorems with trivial proofs
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revised Advice for number theory library
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revised Advice for number theory library
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revised Advice for number theory library
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answered Advice for number theory library
Apr
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answered Hilbert Class Field Galois over Q?
Apr
12
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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awarded  Popular Question
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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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awarded  Necromancer
Feb
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answered Are most cubic plane curves over the rationals elliptic?
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revised Is this obfuscation scheme unbreakable?
More references
Feb
4
comment Is this obfuscation scheme unbreakable?
That's the point of asking the question here, in the hope that a user familiar with the material will explain the problem to a mathematical audience.
Feb
4
asked Is this obfuscation scheme unbreakable?