Hi Juan,
On Tue, Mar 23, 2010 at 10:43 AM, Juan Luis Varona
<[email protected]> wrote:
<SNIP>
> OK, I understand that sage do not kown how to evaluate
> sum(1/(1+k^2), k, -oo, oo)
>
> But it answer 0 , that is wrong!!!
Both Sage 4.3.3 and 4.3.4 give the same wrong answer:
[mv...@sage sage-4.3.4]$ sage
----------------------------------------------------------------------
| Sage Version 4.3.3, Release Date: 2010-02-21 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
sage: k = var("k")
sage: sum(1/(1+k^2), k, -oo, oo)
0
[mv...@sage sage-4.3.4]$ ./sage
----------------------------------------------------------------------
| Sage Version 4.3.4, Release Date: 2010-03-19 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
sage: k = var("k")
sage: sum(1/(1+k^2), k, -oo, oo)
0
Here is the answer from Maple:
[mv...@sage ~]$ maple
|\^/| Maple 12 (X86 64 LINUX)
._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008
\ MAPLE / All rights reserved. Maple is a trademark of
<____ ____> Waterloo Maple Inc.
| Type ? for help.
> sum(1 / (1 + k^2), k=-infinity..infinity);
Pi coth(Pi)
And the answer from Mathematica:
[mv...@sage ~]$ math
Mathematica 6.0 for Linux x86 (64-bit)
Copyright 1988-2007 Wolfram Research, Inc.
In[1]:= Sum[1 / (1 + k^2), {k, -Infinity, Infinty}]
I
Out[1]= - (PolyGamma[0, -I - Infinty] - PolyGamma[0, I - Infinty])
2
> (I have yet 4.3.1; I'm waiting 4.3.4 to update my sage)
Unfortunately, updating to Sage 4.3.4 won't even fix the above issue
with the sum() command. The above issue with the sum() command is now
tracked at ticket #8582:
http://trac.sagemath.org/sage_trac/ticket/8582
--
Regards
Minh Van Nguyen
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