#14496: unify the three implementations of gaussian q-binomial coefficients
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       Reporter:  chapoton           |         Owner:  tbd                      
       
           Type:  enhancement        |        Status:  needs_work               
       
       Priority:  major              |     Milestone:  sage-5.10                
       
      Component:  combinatorics      |    Resolution:                           
       
       Keywords:  gaussian binomial  |   Work issues:                           
       
Report Upstream:  N/A                |     Reviewers:  Francis Clarke, Travis 
Scrimshaw
        Authors:  Frédéric Chapoton  |     Merged in:                           
       
   Dependencies:                     |      Stopgaps:                           
       
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Changes (by fwclarke):

  * status:  needs_review => needs_work


Comment:

 Two points remain, I think:

 1. On speed, I see that you are not using the cyclotomic method when `q`
 is not a polynomial.  But by using `cyclotomic_value` the faster method
 can be efficient for "scalar" values too.

 2. I don't see any reason why `gaussian_binomial` should be
 ''deprecated''.  This terminology is in common use, and a mathematician
 who knows only this name should not be told that it is "wrong".  She
 should be able to use it without necessarily ever knowing that some people
 use a different name.  Doesn't deprecation mean that eventually the
 function will disappear from Sage?  This would only cause confusion.
 Surely the two should be ''synonyms'', as are, for example, the number-
 field methods `ring_of_integers` and `maximal_order`.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14496#comment:15>
Sage <http://www.sagemath.org>
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