Raouf wrote:

> I am a newbie in sage and i want to compute an infinite sum with
> parameter m, like sum(1/(k+m)^3) k=1 to infinity.

Dunno if it matters but maybe you can handle this directly in Maxima.

foo : sum (1/(k + m)^3, k, 1, inf);

load (simplify_sum);
simplify_sum (foo);
 => -psi[2](m+1)/2

ev (%, m=2);
 => zeta(3)-9/8

ev (%, numer);
 => .07705690315959424

Maybe there's a convenient way to do that through Sage, I don't know.

simplify_sum applies the various summation methods known
to Maxima, including the Gosper and Zeilberger methods and
some others.

FWIW

Robert Dodier

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