Timeline for A rapidly-converging series of the Hasse–Weil L-function associated with an elliptic curve over rationals
Current License: CC BY-SA 3.0
7 events
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| Sep 20, 2013 at 8:06 | answer | added | user1774582 | timeline score: 2 | |
| Nov 20, 2012 at 17:48 | comment | added | François Brunault | Yes, there is a rapidly exponentially converging series for L(E,s) which relies on the functional equation and thus on modularity of E. This has been implemented, see e.g. arxiv.org/abs/math/0207280 If you're more interested in values of s with high imaginary part, then you might need other methods, like the double exponential method. See Pascal Molin's PhD thesis math.jussieu.fr/~molinp/files/these.pdf | |
| Nov 20, 2012 at 17:42 | vote | accept | Safwane | ||
| Nov 20, 2012 at 17:39 | answer | added | Denis Chaperon de Lauzières | timeline score: 2 | |
| Nov 20, 2012 at 17:26 | comment | added | Safwane | for any complex number s. I remamber that there is a rapidly converging series obtained by using Lavrik method, but I can't find it. | |
| Nov 20, 2012 at 17:22 | comment | added | Will Sawin | Where do you want the series to converge rapidly? If it's the whole complex plane, such a series would be a proof of analytic continuation, which is as hard as modularity. Thus, you probably want to find the associated modular form and look for a rapidly converging series for the L-function of that modular form? | |
| Nov 20, 2012 at 16:30 | history | asked | Safwane | CC BY-SA 3.0 |