#15422: factorization of non-squarefree polynomials over the p-adics
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Reporter: jdemeyer | Owner:
Type: defect | Status: needs_work
Priority: major | Milestone: sage-5.13
Component: padics | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #9640 | Stopgaps:
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Comment (by jdemeyer):
Replying to [comment:20 roed]:
> You can '''never''' say that a p-adic polynomial has a root.
That can't be true (or I am misunderstanding you). Using Hensel's Lemma,
you ''can'' be certain that polynomials factor in a certain way. For
example, any polynomial over `Zp` which is congruent to (t-1)(t-2) modulo
p, will have a single p-adic root close to 1 and a single p-adic root
close to 2. What am I missing?...
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Ticket URL: <http://trac.sagemath.org/ticket/15422#comment:21>
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