#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_work
   Priority:  major                                 |   Milestone:  sage-4.5  
  Component:  number theory                         |    Keywords:            
     Author:  Mike Hansen                           |    Upstream:  N/A       
   Reviewer:  Karl-Dieter Crisman, Robert Bradshaw  |      Merged:            
Work_issues:                                        |  
----------------------------------------------------+-----------------------
Changes (by davidloeffler):

  * status:  needs_review => needs_work


Comment:

 Patch applies cleanly to 4.5.alpha1 and builds fine, but some doctests
 fail:
 {{{
 sage -t  sage/rings/real_mpfr.pyx
 **********************************************************************
 File "/storage/masiao/sage-4.5.alpha1/devel/sage-
 reviewing/sage/rings/real_mpfr.pyx", line 4487:
     sage: R(1).zeta()
 Expected:
     Infinity
 Got:
     +infinity
 **********************************************************************
 1 items had failures:
    1 of  12 in __main__.example_149
 ***Test Failed*** 1 failures.
 For whitespace errors, see the file
 /home/masiao/.sage//tmp/.doctest_real_mpfr.py
          [10.2 s]
 **********************************************************************
 File "/storage/masiao/sage-4.5.alpha1/devel/sage-
 reviewing/sage/rings/complex_number.pyx", line 2093:
     sage: zeta(1)
 Expected:
     Infinity
 Got:
     zeta(1)
 **********************************************************************
 1 items had failures:
    1 of   8 in __main__.example_72
 ***Test Failed*** 1 failures.
 For whitespace errors, see the file
 /home/masiao/.sage//tmp/.doctest_complex_number.py
          [8.6 s]
 }}}

 Moreover, it doesn't seem to live up to the promise in the title of making
 the return value of zeta(1) consistent:

 {{{
 sage: zeta(RR(1))
 +infinity
 sage: zeta(RDF(1))
 Infinity
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5739#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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