] represents the sum of form
] for all x that satisfy the polynomial equation f
f must be a Function object such as (#^5
form need not correspond to a polynomial function.
] expands RootSum objects into explicit sums involving Root objects.
f and form can contain symbolic parameters.
] is automatically simplified whenever form is a rational function.
RootSum is often generated in computing integrals of rational functions.
See the Mathematica book: Section 3.4.3.
See also: Root.
Related package: Algebra`SymmetricPolynomials`.
This gives the sum of the seventh powers of the roots of the quintic.
Here is the sum of the logarithms.
The sum of exponentials is not evaluated explicitly, but we can get its numerical value with N.
In this polynomial the coefficients of the linear term is symbolic. We can get numerical results by substitution.