#8864: make zeta function symbolic
-------------------------------+--------------------------------------------
Reporter: zimmerma | Owner: AlexGhitza
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.4.2
Component: symbolics | Keywords:
Author: Burcin Erocal | Upstream: N/A
Reviewer: Paul Zimmermann | Merged:
Work_issues: |
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Changes (by zimmerma):
* status: needs_review => needs_work
* reviewer: => Paul Zimmermann
Comment:
I applied that patch to 4.4.1. The new behaviour is ok, I get only one
doctest failure in
{{{lfunctions/dokchitser.py}}}. With 4.4.1 we got:
{{{
sage: h = RR('0.0000000000001')
sage: (zeta(2+h) - zeta(2))/h
-0.937028232783632
}}}
With the patch, we get:
{{{
sage: h = RR('0.0000000000001')
sage: (zeta(2+h) - zeta(2))/h
-1.66666666666667e12*pi^2 + 1.64493406684813e13
}}}
I guess the doctest result has to be changed, or zeta(2) changed to
zeta(2.), since Sage does not
automatically propagate floats, for example {{{pi+1.0}}} remains
unchanged.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8864#comment:3>
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