Timeline for Effective Chebotarev Density

9 events

when toggle format	what		by	license	comment
Jun 9, 2018 at 4:35	history	edited	GH from MO		edited tags
Feb 7, 2012 at 4:12	history	edited	Charles		tag
Jan 17, 2011 at 21:50	comment	added	GH from MO		I still think that $\sqrt{p}$ is pretty hopeless with present day technology, but at least for $K$ abelian I see room for improving upon what I wrote originally. For example, if $q>1$ is fixed and you are looking for an $\ell$ which is $1$ mod $q$ and of a given quadratic character mod $p$, then Linnik's theorem (see Wikipedia) guarantees $\ell\ll p^c$ with some constant $c$ (the current record is $c=5.2$). Linnik's theorem is pretty deep though, and the way I applied it is rather dull.
Jan 17, 2011 at 19:58	comment	added	Eric Larson		See my edit above to the question which addresses your example below.
Jan 17, 2011 at 19:54	history	edited	Eric Larson	CC BY-SA 2.5	added 555 characters in body
Jan 17, 2011 at 15:29	comment	added	Felipe Voloch		(Prompted by the comments in GH's answer) Do you really want $\sqrt p$, not square root of discriminant? See edit to my answer.
Jan 16, 2011 at 13:59	answer	added	GH from MO		timeline score: 11
Jan 16, 2011 at 13:47	answer	added	Felipe Voloch		timeline score: 9
Jan 16, 2011 at 5:28	history	asked	Eric Larson	CC BY-SA 2.5