#14814: Mulitvariate power series are missing integral and division method
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       Reporter:  hivert                              |         Owner:  
AlexGhitza  
           Type:  enhancement                         |        Status:  
needs_review
       Priority:  major                               |     Milestone:  
sage-5.12   
      Component:  algebra                             |    Resolution:          
    
       Keywords:  integral multivariate power series  |   Work issues:          
    
Report Upstream:  N/A                                 |     Reviewers:          
    
        Authors:  Florent Hivert, Nicolas Thiéry      |     Merged in:          
    
   Dependencies:                                      |      Stopgaps:          
    
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Changes (by {'newvalue': u'Florent Hivert, Nicolas Thi\xe9ry', 'oldvalue': ''}):

  * status:  new => needs_review
  * author:  => Florent Hivert, Nicolas Thiéry


Old description:

> {{{
> sage: R.<x>=PowerSeriesRing(QQ, 'x')
> sage: (x+x^2).integral()
> 1/2*x^2 + 1/3*x^3
> sage: R.<x,y>=PowerSeriesRing(QQ, 'x y')
> sage: (x+x^2).integral(x)
> ...
> AttributeError: 'MPowerSeries' object has no attribute 'integral'
> }}}
>
> I've some preliminary patch mut I'm not sure if this shoudn't be done at
> another level (eg Singular).
>
> Florent

New description:

 {{{
 sage: R.<x>=PowerSeriesRing(QQ, 'x')
 sage: (x+x^2).integral()
 1/2*x^2 + 1/3*x^3
 sage: R.<x,y>=PowerSeriesRing(QQ, 'x y')
 sage: (x+x^2).integral(x)
 ...
 AttributeError: 'MPowerSeries' object has no attribute 'integral'
 }}}

 I also implement division by a non unit series (thanks Nicolas for
 preliminary code) and fixes the latex method which was buggy

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14814#comment:2>
Sage <http://www.sagemath.org>
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