#4656: [with patch, positive review] power series with zero p-adic coefficients
---------------------------+------------------------------------------------
 Reporter:  wuthrich       |       Owner:  was              
     Type:  defect         |      Status:  new              
 Priority:  minor          |   Milestone:  sage-3.4.1       
Component:  number theory  |    Keywords:  padic powerseries
---------------------------+------------------------------------------------
Changes (by wuthrich):

  * milestone:  sage-3.4.2 => sage-3.4.1


Old description:

> The following _repr_ does not look good to me
>
> {{{
> sage: R.<T> = Qp(5,5)[[]]
> sage: O(5^3)*T
> 0
> sage: 1+O(5^3)*T
> 1 + O(5^5) + O(5^3)*T
> }}}
>
> But that is due to
> {{{
> sage: s= O(5^3)*T
> sage: s.is_zero()
> True
> sage: s == R(0)
> False
> }}}
>
> This I consider to be a bug according to the docstring of s.is_zero?
> saying
> {{{
> Return True if self equals self.parent()(0).
> }}}

New description:

 The following _repr_ does not look good to me

 {{{
 sage: R.<T> = Qp(5,5)[[]]
 sage: O(5^3)*T
 0
 sage: 1+O(5^3)*T
 1 + O(5^5) + O(5^3)*T
 }}}

 But that is due to
 {{{
 sage: s= O(5^3)*T
 sage: s.is_zero()
 True
 sage: s == R(0)
 False
 }}}

 This I consider to be a bug according to the docstring of s.is_zero?
 saying
 {{{
 Return True if self equals self.parent()(0).
 }}}

--

Comment:

 Looks good to me and passes all tests. I changed the patch as the
 orinigally posted patch does not apply against sage 3.4. Thanks!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4656#comment:3>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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