#8621: New functions in lcalc wrapper
-----------------------------+----------------------------------------------
Reporter: rishi | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.4
Component: number theory | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
-----------------------------+----------------------------------------------
Old description:
> I have added access to two new functions in lcalc wrapper.
>
> compute_rank and hardy_z_function
New description:
I have added access to two new functions in lcalc wrapper.
compute_rank and hardy_z_function. This patch depends on #5396
--
Comment(by rishi):
I have added two new functions
{{{
sage: from sage.libs.lcalc.lcalc_Lfunction import
(Lfunction_from_character, Lfunction_from_elliptic_curve)
sage: chi=DirichletGroup(123)[31]
sage: L1=Lfunction_from_character(chi)
sage: L1.hardy_z_function(.5+5*I)
-0.462453973892362 - 7.93526871565814e-15*I
sage: L1.compute_rank()
0
sage: L2=Lfunction_from_elliptic_curve(EllipticCurve('37a'))
sage: L2.compute_rank()
1
sage: L2.hardy_z_function(.5+6*I)
-2.17184689048993 - 1.76053169785863e-15*I
sage: L2.hardy_z_function(-.5+6*I)
4.17981266933977 + 36.9688966864015*I
}}}
Although for elliptic curves, other programs will be better for analytic
rank, I have added this because here it works for any L function
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8621#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
