#13712: wrong evaluation of infinite sum
-------------------------+--------------------------------------------------
Reporter: burcin | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-5.5
Component: symbolics | Keywords: maxima
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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From [http://ask.sagemath.org/question/1985/unexpected-result-for-the-sum-
of-a-series this ask.sagemath.org question]:
{{{
sage: n = var('n')
sage: sum(1/((2*n-1)^2*(2*n+1)^2*(2*n+3)^2), n, 0, oo)
3/256*pi^2 - 1/32
}}}
The correct answer is `3/256*pi^2`.
We should report this to maxima:
{{{
(%i10) load(simplify_sum);
(%o10)
/tmpbig/burcin/sage-5.4/local/share/maxima/5.26.0/share/contrib/solve_r\
ec/simplify_sum.mac
(%i11) simplify_sum(sum(1/((2*n-1)^2*(2*n+1)^2*(2*n+3)^2), n, 0, inf));
2
%pi
2 ---- - 4
%pi 2
(%o11) ---- + --------
128 128
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13712>
Sage <http://www.sagemath.org>
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