It would be nice to add an option to set Maxima simpsum option when
calling Sage symbolic_sum function, or to enable it by default.
Indeed, without it Maxima (and so Sage) does not evaluate symbolic
sums of sums, i.e. something as
sage: var('n')
n
sage: sum(2^x+2^-x,x,0,n)
sum((2^(2*x) + 1)/2^x, x, 0, n)
Of course one can set it through maxima(...) function, but that is not
trivial to find:
maxima("simplify_sum(sum(%s,%s,%s,%s)),simpsum" %
tuple([repr(expr._maxima_()) for expr in (2^x+2^-x,x,0,n)]))
I can open a trac ticket and produce a patch if someone else that me
think it is a good idea.
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