#11516: zeta in modular integer ring is primitive
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Reporter: kedlaya | Owner: was
Type: defect | Status: new
Priority: minor | Milestone: sage-4.7.1
Component: number theory | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Kiran Kedlaya
Merged: | Dependencies:
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Karl-Dieter Crisman (at Sage Edu Days 3) points out that the documentation
of the zeta method for a modular integer ring is a bit misleading.
{{{
sage: R = IntegerModRing(11)
sage: R.zeta(5, all=True)
[9, 5, 4, 3]
}}}
All well and good, but the documentation says:
{{{
Return an n-th root of unity in self if there is one, or raise an
ArithmeticError otherwise.
INPUT:
* ``n`` -- positive integer
* ``all`` -- bool, default: False. If True, return a list of all
n-th roots of 1.
}}}
The point is that "n-th root of 1" should be "primitive n-th root of 1".
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11516>
Sage <http://www.sagemath.org>
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