#20084: residue: mathematically wrong output
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Reporter: behackl | Owner:
Type: defect | Status: new
Priority: critical | Milestone: sage-7.1
Component: symbolics | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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The complex function `f(s) = 1/(1 - 2^(-s))` has poles of residue
`1/log(2)` at `s = 2*k*pi*I/log(2)` for all integers `k`.
Currently sage recognize these poles just at `s=0`:
{{{
sage: f(s).residue(s==0)
1/log(2)
sage: f(s).residue(s==2*pi*I/log(2))
0
}}}
In essence, this happens because the `series`-method does not recognize
the pole. The priority is critical because mathematically wrong output is
produced.
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Ticket URL: <http://trac.sagemath.org/ticket/20084>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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