#22005 closed defect (fixed)
sum(1/((2*n+1)^2-4)^2, n, 0, oo, algorithm='maxima') is wrong
Reported by: | slabbe | Owned by: | |
---|---|---|---|
Priority: | major | Milestone: | sage-7.6 |
Component: | symbolics | Keywords: | maxima |
Cc: | Merged in: | ||
Authors: | Reviewers: | ||
Report Upstream: | Fixed upstream, in a later stable release. | Work issues: | |
Branch: | Commit: | ||
Dependencies: | #18920 | Stopgaps: |
Description (last modified by )
From ask.sagemath.org:
sage: n = var('n') sage: sum(1/((2*n+1)^2-4)^2, n, 0, oo) 1/64*pi^2 - 1/12 sage: sum(1/((2*n+1)^2-4)^2, n, 0, oo, algorithm='maxima') 1/64*pi^2 - 1/12
but correct answer is 1/64*pi^2
. SymPy (with #22004) and Mathematica do it right:
sage: sum(1/((2*n+1)^2-4)^2, n, 0, oo, algorithm='mathematica') 1/64*pi^2 sage: sum(1/((2*n+1)^2-4)^2, n, 0, oo, algorithm='sympy') 1/64*pi^2
I am using version:
$ sage -standard | grep maxima maxima..................................5.35.1.p2 (5.35.1.p2)
See #18920 for the ticket updating maxima version.
Change History (8)
comment:1 Changed 3 years ago by
- Description modified (diff)
comment:2 Changed 3 years ago by
- Description modified (diff)
comment:3 Changed 2 years ago by
- Report Upstream changed from N/A to Fixed upstream, in a later stable release.
comment:4 Changed 2 years ago by
- Dependencies set to #18920
- Milestone changed from sage-7.5 to sage-7.6
comment:5 Changed 2 years ago by
- Status changed from new to needs_review
comment:6 Changed 2 years ago by
- Status changed from needs_review to positive_review
This is fixed in 8.0.beta11.
comment:7 Changed 2 years ago by
- Resolution set to fixed
- Status changed from positive_review to closed
comment:8 Changed 2 years ago by
Just to say that a doctest is already testing this issue:
https://github.com/sagemath/sage/blob/develop/src/sage/calculus/calculus.py#L569
It was added in #22004 and updated during the upgrade to maxima 5.39.
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Seems to be fixed upstream or "perhaps an interaction with some flags that Sage is setting" according to Robert Dodier:
https://sourceforge.net/p/maxima/bugs/3236/#7b13/aab3