#14334: integral of multivariate polynomial
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Reporter: chapoton | Owner: malb
Type: defect | Status: positive_review
Priority: major | Milestone: sage-5.12
Component: commutative algebra | Resolution:
Keywords: integral of polynomials | Merged in:
Authors: Frédéric Chapoton | Reviewers: Andrey
Report Upstream: N/A | Novoseltsev
Branch: | Work issues:
Dependencies: | Commit:
| Stopgaps:
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Comment (by nbruin):
This can be done later as well: Isn't it a bit overly restrictive to
demand QQ is a subfield? Everything should be fine as long as
factorial(degree(f,x)) is invertible in the base ring.
Perhaps just try the computation:
- If you end up with an exponent that is divisible by the characteristic,
you'll get a `ZeroDivisionError`.
- If you try to convert the newly computed coefficient into the base
ring, you'll get an error for things like `integrate(5*x^2*y,y)` in
`ZZ[x,y]`, because `ZZ(5/3)` will fail.
You could catch these errors and raise a `ValueError: polynomial does not
have an antiderivative over this ring`.
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Ticket URL: <http://trac.sagemath.org/ticket/14334#comment:14>
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