Timeline for product of all F_p, p prime
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 14, 2010 at 2:33 | comment | added | François G. Dorais | There is a very simple elementary proof of the infinitude of completely split primes! mathoverflow.net/questions/15220/… | |
| Feb 13, 2010 at 16:54 | comment | added | François G. Dorais | Very interesting point, Kevin. Is there a proof of the infinitude of completely splitting primes that doesn't involve analysis? (I vaguely remember seeing such a thing in the Abelian case.) | |
| Feb 13, 2010 at 8:44 | comment | added | Kevin Buzzard | It's actually only a weak consequence of Cebotarev's theorem, and can be obtained in a more elementary manner. You just need that the zeta function of the number field has a pole, which is a basic fact. This is one of those algebraic-looking results whose most natural proofs are analytic. | |
| Feb 13, 2010 at 1:07 | comment | added | François G. Dorais | Sorry for the duplication, I hadn't read the long thread of comments where this is all explained. | |
| Feb 13, 2010 at 0:51 | history | edited | François G. Dorais | CC BY-SA 2.5 |
Forgot increasing condition
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| Feb 13, 2010 at 0:41 | history | answered | François G. Dorais | CC BY-SA 2.5 |