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Nov 4, 2013 at 10:39 comment added Jean Raimbault This sounds nice; you should probably ask it as a separate question since the focus here (for me at least, and it seems for the papers linked in the answers also) was on fields with bounded degree (also, a new question has probably a better chance to be aswered, and will be more useful when answered, than a comment on an old question).
Nov 3, 2013 at 2:55 comment added graduate student Here is an open question I have wondered about: What is an upper complexity bound for the calculation of the class number of a cyclotomic field of conductor $m$? Since the degrees of these fields differ, currently known results are not yet able to address this problem.
Oct 31, 2013 at 8:36 vote accept Jean Raimbault
Oct 29, 2013 at 20:40 answer added Edgardo timeline score: 2
Oct 29, 2013 at 18:50 answer added Lucia timeline score: 6
Oct 29, 2013 at 18:10 answer added Matt Young timeline score: 2
Oct 29, 2013 at 14:16 answer added Igor Rivin timeline score: 2
Oct 29, 2013 at 12:42 history asked Jean Raimbault CC BY-SA 3.0