Hi, I'm reading the notes of William's talk "Three Lectures about Explicit Methods in Number Theory Using Sage", that are indeed very interesting.
It comments that Sage includes functionallity to compute the zeros of L-series of elliptic curves, by doing sage: E = EllipticCurve(’389a1’) sage: L = E.lseries() sage: L.zeros(10) [0.000000000, 0.000000000, 2.87609907, 4.41689608, 5.79340263, 6.98596665, 7.47490750, 8.63320525, 9.63307880, 10.3514333] It comments that " Rubinstein’s program can also do similar computations for a wide class of L-functions, though not all of this functionality is as easy to use from Sage as for elliptic curves." It would be nice to functionallity for computing other L-functions that appears in number theory. The most basic one would: compute the L-series associated with a Dirichlet character, and been able to do some simmilar computation like sage: G=DirichletGroup(10) sage: c=G[1] sage: L=c.lseries() sage: L.zeros(10) Also one could like to do similar computations for instance with Dedekind zeta function of a number fileld, something like... sage: K.<sqrt2> = QuadraticField(2) sage: Z.DedekindZeta() sage: Z.zeros(10) Would it be possible to implement such a functionallity in Sage? Perhaps we would need a more more flexible class for representing L-series. best regards Pablo --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
