| John Cremona on Mon, 12 Jul 2010 14:50:33 +0200 |
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| Re: Dirichlet L-Functions |
Apologies, I gave Vladimir Dokchitser's URL instead of his brother's which is http://www.dpmms.cam.ac.uk/~td278/ John On 12 July 2010 13:40, John Cremona <john.cremona@gmail.com> wrote: > Tim Dokchitser's address is now Cambridge: http://www.dpmms.cam.ac.uk/~vd209/ > > Also, Jeroen Demeyer and I have just yesterday edited Dokchitser's > computel.gp script so that it works with version 2.4.3; I have > attached the edited version here (which I sent to Tim today). > > John Cremona > > On 12 July 2010 13:04, Karim Belabas <Karim.Belabas@math.u-bordeaux1.fr> wrote: >> * Charles Greathouse [2010-07-09 18:04]: >>> 1. Is there a good way to compute a Dirichlet L-function in Pari? In >>> particular, I'd like to calculate one with chi = kronecker(D, p) and >>> fixed D and s. >> >> There are two "simple" ways, both available in the archive of >> Contributed GP scripts, >> >> http://www.math.u-bordeaux1.fr/~belabas/pari/scripts/ >> >> Specifically, item #2 (by Henri Cohen): >> >> http://www.math.u-bordeaux1.fr/~belabas/pari/scripts/cohen.gp >> >> and #3 (by Tim Dokchitser) >> >> http://maths.dur.ac.uk/~dma0td/computel/ >> >>> 2. (Encroaching on pari-dev) If the answer to #1 is negative, and I >>> write a function implementing it, should I submit it for inclusion in >>> future versions? >> >> Pascal Molin, a student of mine, is working on a more general >> implementation of Dokchitser's script (with new ideas of his, as well as >> from Booker, Rubinstein, and others), which will be directly available >> in the PARI/GP package. >> >> If you devise specific improvements to script #2 above, you may send >> patches to me. (Script #3 is maintained directly by Tim Dokchitser.) >> >> Cheers, >> >> K.B. >> -- >> Karim Belabas, IMB (UMR 5251) Tel: (+33) (0)5 40 00 26 17 >> Universite Bordeaux 1 Fax: (+33) (0)5 40 00 69 50 >> 351, cours de la Liberation http://www.math.u-bordeaux1.fr/~belabas/ >> F-33405 Talence (France) http://pari.math.u-bordeaux1.fr/ [PARI/GP] >> ` >> >