#8582: sum(1/(1+k^2), k, -oo, oo) returns 0
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Reporter: mvngu | Owner: burcin
Type: defect | Status: closed
Priority: major | Milestone: sage-4.6.1
Component: symbolics | Resolution: fixed
Keywords: | Author:
Upstream: N/A | Reviewer:
Merged: | Work_issues:
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Changes (by mvngu):
* status: new => closed
* resolution: => fixed
Comment:
This is fixed at ticket #10187 by upgrading to Maxima 5.22.1:
{{{
[mv...@sage sage-4.6.1.alpha3]$ ./sage
----------------------------------------------------------------------
| Sage Version 4.6.1.alpha3, Release Date: 2010-12-05 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
**********************************************************************
* *
* Warning: this is a prerelease version, and it may be unstable. *
* *
**********************************************************************
sage: k = var("k")
sage: sum(1/(1+k^2), k, -oo, oo)
1/2*I*psi(-I) - 1/2*I*psi(I) + 1/2*I*psi(-I + 1) - 1/2*I*psi(I + 1)
sage: %maxima
--> Switching to Maxima <--
''
maxima: load(simplify_sum);
"/dev/shm/mvngu/sage-4.6.1.alpha3/local/share/maxima/5.22.1/share/contrib/solve_rec/simplify_sum.mac"
maxima: display2d:false;
false
maxima:
maxima: simplify_sum(sum(1/(1+k^2),k,-inf,inf));
-%i*(psi[0](%i+1)+%gamma)/2-%i*(psi[0](%i)+%gamma)/2+%i*(psi[0](-%i)+%gamma)/2+%i*(psi[0](1-%i)+%gamma)/2
}}}
So I'm closing this ticket as fixed.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8582#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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