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Unexpected result for the sum of a series

asked 2012-11-14 19:48:43 -0500

updated 2013-06-03 04:01:33 -0500

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!)

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answered 2012-11-14 23:39:42 -0500

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.

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This has been reported upstream at Maxima artifact 3587514.

kcrisman ( 2012-11-15 01:55:38 -0500 )edit

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Asked: 2012-11-14 19:48:43 -0500

Seen: 91 times

Last updated: Nov 14 '12