#2943: [with patch, not ready for review] bug with power series and/or p-adics
---------------------------------------------+------------------------------
 Reporter:  jen                              |        Owner:  was       
     Type:  defect                           |       Status:  new       
 Priority:  critical                         |    Milestone:  sage-3.4.1
Component:  number theory                    |   Resolution:            
 Keywords:  power series, p-adic extensions  |  
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Comment (by kedlaya):

 I can simplify dmharvey's bad example even further. No need to work over
 the p-adics at all! (This execution is from 3.2.3.)
 {{{
 sage: C.<t> = PowerSeriesRing(Integers())
 sage: D.<s> = PowerSeriesRing(C)
 sage: y = 1 - (t + O(t^2))*s + O(s^5)
 sage: 1/y
 1 + (t + O(t^2))*s + (2*t^2 + O(t^3))*s^2 + O(s^5)
 }}}
 So I dare say this is really a bug in power series, specifically in
 precision management.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/2943#comment:16>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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