#12124: Fix Eisenstein L-series precision
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Reporter: jdemeyer | Owner: craigcitro
Type: defect | Status: needs_review
Priority: minor | Milestone: sage-4.8
Component: modular forms | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Jeroen Demeyer
Merged: | Dependencies:
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Changes (by jdemeyer):
* status: needs_info => needs_review
Old description:
New description:
The LCalc interface uses PARI/GP through strings. This is problematic for
the Eisenstein series L-function where Sage passes the value of
{{{
str(float(pi)**0.5)
}}}
to PARI/GP. There are two problems with this:
1. Using `float` has at most 53 bits precision, regardless of what
precision is used in PARI/GP.
2. Using strings causes an additional loss of precision.
Letting PARI/GP compute the value of {{{sqrt(Pi)}}} solves both these
problems.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12124#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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