#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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Comment(by kedlaya):
It only returns the primitive roots:
{{{
sage: R = IntegerModRing(13)
sage: R.zeta(4, all=True)
[8, 5]
}}}
This is even true in corner cases:
{{{
sage: R = IntegerModRing(13)
sage: R.zeta(1, all=True)
[1]
sage: R = IntegerModRing(1)
sage: R.zeta(1, all=True)
[0]
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11516#comment:2>
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