Unexpected result for the sum of a series

asked 2012-11-15 02:48:43 +0100

updated 2023-01-10 01:57:41 +0100

tmonteil
27423 ●31 ●204 ●517 http://wiki.sagemath.o...

I typed

n = var('n')

sum(1/((2*n-1)^2*(2*n+1)^2*(2*n+3)^2), n, 0, oo)

sage answered

3/256*pi^2 - 1/32

By hand computation (via Fourier series), and by WolframAlpha I got

3/256*pi^2

Why?

Link to WolframAlpha's result.

(This is my first question. If it is inappropriate here, please tell me where I should ask it. I used the tag "bug", but I of course mean "potential bug". Thank you very much in advance!)

edit retag flag offensive close merge delete

add a comment

2 Answers

Sort by » oldest newest most voted

answered 2012-11-15 06:39:42 +0100

burcin
1208 ●16 ●36 http://erocal.org/burcin

This is a bug. It is now #13712 on the Sage issue tracker.

Sage calls Maxima to evaluate symbolic sums. Somebody will have to pass the report upstream to the Maxima developers.

Thanks for your report.

edit flag offensive delete link

Comments

This has been reported upstream at [Maxima artifact 3587514](https://sourceforge.net/tracker/?func=detail&aid=3587514&group_id=4933&atid=104933).

kcrisman ( 2012-11-15 08:55:38 +0100 )edit

add a comment

answered 2023-01-10 01:57:20 +0100

tmonteil
27423 ●31 ●204 ●517 http://wiki.sagemath.o...

This bug is fixed:

sage: n = var('n')
....: sum(1/((2*n-1)^2*(2*n+1)^2*(2*n+3)^2), n, 0, oo)
3/256*pi^2

Setting tags from confirmed_issue to fixed_issue.

edit flag offensive delete link

add a comment

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Add Answer

Unexpected result for the sum of a series

2 Answers

Comments

Your Answer

Question Tools

Stats

Related questions

Unexpected result for the sum of a series edit

2 Answers

Comments

Your Answer

Question Tools

Stats

Related questions

Unexpected result for the sum of a series