Hi,
Is there a reason why Sage can recognize an infinite series as the zeta function for integers but not fractions (rationals)? For example:
sum(1/t^(2), t, 1, oo), sum(1/t^(3), t, 1, oo), sum(1/t^(11), t, 1, oo)
returns (1/6*pi^2, zeta(3), zeta(11))
But, this:
sum(1/t^(3/2), t, 1, oo), sum(1/t^(5.2), t, 1, oo)
returns just (sum(t^(-3/2), t, 1, +Infinity), sum(t^(-5.2), t, 1, +Infinity))
