#5739: changed from zeta(CDF(1)) go boom! + zeta of 1 return value be consistent
in different rings
----------------------------------------------------+-----------------------
   Reporter:  was                                   |       Owner:  fredrik     
       Type:  defect                                |      Status:  needs_review
   Priority:  major                                 |   Milestone:  sage-4.5.2  
  Component:  number theory                         |    Keywords:              
     Author:  Mike Hansen                           |    Upstream:  N/A         
   Reviewer:  Karl-Dieter Crisman, Robert Bradshaw  |      Merged:              
Work_issues:                                        |  
----------------------------------------------------+-----------------------
Changes (by robertwb):

  * status:  needs_work => needs_review


Comment:

 It's really sad we still have this trivial-to-fix hard crash after over a
 year!

 I've attached a patch that fixes the behavior of CDF(1).zeta() and
 CC(1).zeta(). It leaves the real fields alone, which I think is fine
 'cause they have reasonable representations of (an) infinity, and we
 usually try to return something of the same type. (IN the complex case,
 infinity is a lot messier without a lot of special casing that's beyond
 the scope of this ticket...)

 {{{
 sage: RR(1).zeta(), RDF(1).zeta(), CC(1).zeta(), CDF(1).zeta()
 (+infinity, +infinity, Infinity, Infinity)
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5739#comment:13>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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