#19799: numerical approximation of zeta involving symbolic constants fails
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Reporter: behackl | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-7.0
Component: symbolics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: Fixed upstream, in a later | Work issues:
stable release. | Commit:
Branch: | Stopgaps:
Dependencies: |
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Description changed by rws:
Old description:
> when evaluating `zeta(s)` numerically at arguments where symbolic
> constants like `pi`, `sqrt(2)`, `log(2)` etc... are involved, it raises
> an error (in contrast to `gamma(s)`):
>
> {{{
> sage: gamma(pi).n()
> 2.28803779534003
> sage: zeta(pi).n()
> Traceback (most recent call last):
> ...
> TypeError: cannot evaluate symbolic expression numerically
> }}}
>
> or, similarly
>
> {{{
> sage: gamma(sqrt(2)).n()
> 0.886581428719259
> sage: zeta(sqrt(2)).n()
> Traceback (most recent call last):
> ...
> TypeError: cannot evaluate symbolic expression numerically
> }}}
>
> and so on.
>
> See https://github.com/pynac/pynac/issues/115
New description:
when evaluating `zeta(s)` numerically at arguments where symbolic
constants like `pi`, `sqrt(2)`, `log(2)` etc... are involved, it raises an
error (in contrast to `gamma(s)`):
{{{
sage: gamma(pi).n()
2.28803779534003
sage: zeta(pi).n()
Traceback (most recent call last):
...
TypeError: cannot evaluate symbolic expression numerically
}}}
or, similarly
{{{
sage: gamma(sqrt(2)).n()
0.886581428719259
sage: zeta(sqrt(2)).n()
Traceback (most recent call last):
...
TypeError: cannot evaluate symbolic expression numerically
}}}
and so on.
See https://github.com/pynac/pynac/issues/115
Since this is fixed in Sage now, this ticket should provide doctests.
--
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Ticket URL: <http://trac.sagemath.org/ticket/19799#comment:7>
Sage <http://www.sagemath.org>
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