#16308: Improve sums of squares
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Reporter: jdemeyer | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/ticket/16308 | 6b94a6576031e6e341143a4fc1fd83263a800ed9
Dependencies: | Stopgaps:
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Comment (by leif):
Replying to [comment:18 jdemeyer]:
> Replying to [comment:14 leif]:
> > I don't think anybody would expect e.g. `two_squares(25)` to return
the trivial solution `(0,5)` instead of `(3,4)`.
>
> From a number-theory point of view, there is nothing wrong with `(0,5)`.
In fact, in some cases, the only solution is the "trivial" one, for
example for 9.
As mentioned, depends on how you specify two_squares().
From a user perspective, I think there should be some optional argument
`no_trivial_solutions`, as feeding the function with perfect squares
otherwise doesn't make much sense.
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Ticket URL: <http://trac.sagemath.org/ticket/16308#comment:20>
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