#11783: bug in DirichletGroup and/or DirichletCharacter when the modulus is 1
-----------------------------+----------------------------------------------
Reporter: was | Owner: was
Type: defect | Status: new
Priority: major | Milestone: sage-4.7.2
Component: number theory | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
-----------------------------+----------------------------------------------
Observe that the value of chi(1) below depends on whether
{{{chi.values()}}} is called first. Thus there is certainly a bug. I
think we should always have {{{chi(1)=1}}}, since {{{gcd(1,1)=1}}}; this
is also consistent with the rule that if psi is trivial but not primitive,
then {{{psi(n)=1}}} for all n coprime to the modulus of psi.
See this thread:
http://groups.google.com/group/sage-
devel/browse_thread/thread/fa94a97612c7225b
{{{
wstein@ubuntu:~$ sage
----------------------------------------------------------------------
| Sage Version 4.7.2.alpha2, Release Date: 2011-08-18 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
**********************************************************************
* *
* Warning: this is a prerelease version, and it may be unstable. *
* *
**********************************************************************
sage: chi = DirichletGroup(1)[0]
sage: chi(1)
1
sage: chi.values()
[1]
sage:
Exiting Sage (CPU time 0m0.09s, Wall time 0m18.02s).
wstein@ubuntu:~$ sage
----------------------------------------------------------------------
| Sage Version 4.7.2.alpha2, Release Date: 2011-08-18 |
| Type notebook() for the GUI, and license() for information. |
----------------------------------------------------------------------
**********************************************************************
* *
* Warning: this is a prerelease version, and it may be unstable. *
* *
**********************************************************************
sage: chi = DirichletGroup(1)[0]
sage: chi.values()
[0]
sage: chi(1)
0
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11783>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
