#14542: Implement arithmetic product of cycle index series
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       Reporter:  agd                   |         Owner:  sage-combinat
           Type:  enhancement           |        Status:  needs_review 
       Priority:  major                 |     Milestone:  sage-5.11    
      Component:  combinatorics         |    Resolution:               
       Keywords:  species, cycle index  |   Work issues:               
Report Upstream:  N/A                   |     Reviewers:               
        Authors:                        |     Merged in:               
   Dependencies:                        |      Stopgaps:               
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Comment (by darij):

 Thanks for the update! I'll have to take a closer look at it.

 Meanwhile, are you sure you want those {{{assert}}}s in lines 606-607? I
 don't know what a typical use case of this method should be, but I can
 imagine applying it in a case where the **base ring** is not discrete (i.
 e., you cannot check for equality) and these {{{assert}}}s will throw a
 NotImplemented. Think of a lazy power series ring in 2 variables
 implemented as a lazy power series ring over a lazy power series ring;
 then the base ring itself is lazy and this stuff breaks. I have a similar
 issue with your #14543 patch. Maybe add a {{{check_input=True}}} keyword
 which can optionally be set to {{{False}}} to avoid these {{{assert}}}s?

 In other news:

 {{{
 sage: L = LazyPowerSeriesRing(QQ)
 sage: L.sum_generator([L([0]),L([1])]).coefficients(10)
 [0, 1, 1, 1, 1, 1, 1, 1, 1, 1]
 sage: L.sum_generator([L([0]),L([1]),L([0])]).coefficients(10)
 [0, 1, 1, 1, 1, 1, 1, 1, 1, 1]
 }}}

 I don't think the 1 repeats because it's the last element -- it is not, in
 the second case. I think it repeats because of the "sum" in
 "sum_generator". But like you, I don't have a clue what's going on here
 really. I'll try to ask around in Orsay...

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14542#comment:7>
Sage <http://www.sagemath.org>
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