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Timeline for Local root number

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Jun 23, 2010 at 23:08 history edited Emerton CC BY-SA 2.5
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Jun 23, 2010 at 23:03 comment added Arijit Thanks a lot Prof. Emerton. I didnt think of it that way. I will now look up the related things that I am sure will teach me a lot of things.
Jun 23, 2010 at 22:43 history edited Emerton CC BY-SA 2.5
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Jun 23, 2010 at 6:09 comment added Arijit Thanks a lot to both Emerton and Junkie. I guess I will find it helpful as I am currently implementing sage to compute root numbers for elliptic curves over number fields. But I found the problem highly unmotivating since I did nt understand what the local root numbers are.
Jun 23, 2010 at 5:51 vote accept Arijit
Jun 23, 2010 at 4:04 comment added Emerton Dear Junkie, Thanks for this.
Jun 23, 2010 at 4:01 comment added Junkie For EC, there is also work of Whitehouse, Kobayashi, and for EC symmetric powers by Dummigan Martin and Watkins. Halberstadt's original computation in Q_2/Q_3 used the crufty method of determining sufficient p-adic neighborhoods, then finding a curve in Cremona's table (assuming modularity) in this nbhood, thus knowing its global root number, and work back. www-math.mit.edu/~dw/maths/Rootabstract.html math.nagoya-u.ac.jp/~shinichi/rootnumber.pdf neil-dummigan.staff.shef.ac.uk/efNEW.dvi All these, and that of Dokchitsers, build on others, Rohrlich particularly.
Jun 23, 2010 at 0:41 history answered Emerton CC BY-SA 2.5