#16773: Analytic Rank Bound
-------------------------------------+-------------------------------------
       Reporter:  spice              |        Owner:  spice
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.8
      Component:  elliptic curves    |   Resolution:
       Keywords:  elliptic curves,   |    Merged in:
  analytic rank, l-functions         |    Reviewers:  William Stein
        Authors:  Simon Spicer       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  8ca05d1ad73c40eb744ab727ea9efd8d47cf0615
  public/ticket/16773                |     Stopgaps:
   Dependencies:                     |
-------------------------------------+-------------------------------------
Changes (by vbraun):

 * status:  positive_review => needs_work


Comment:

 Some more numerical noise on 32-bit:
 {{{
 sage -t --long src/sage/lfunctions/zero_sums.pyx
 **********************************************************************
 File "src/sage/lfunctions/zero_sums.pyx", line 337, in
 sage.lfunctions.zero_sums.LFunctionZeroSum_abstract.logarithmic_derivative
 Failed example:
     Z.logarithmic_derivative(2.2,num_terms=50000) # long time
 Expected:
     (0.5751579645060139, 0.008988775519160675)
 Got:
     (0.5751579645060141, 0.008988775519160675)
 **********************************************************************
 1 item had failures:
    1 of  10 in
 sage.lfunctions.zero_sums.LFunctionZeroSum_abstract.logarithmic_derivative
     [132 tests, 1 failure, 8.98 s]
 sage -t --long src/sage/rings/real_double.pyx
 **********************************************************************
 File "src/sage/rings/real_double.pyx", line 2198, in
 sage.rings.real_double.RealDoubleElement.dilog
 Failed example:
     RDF(2).dilog()
 Expected:
     2.46740110027234
 Got:
     2.4674011002723395
 **********************************************************************
 1 item had failures:
    1 of   3 in sage.rings.real_double.RealDoubleElement.dilog
     [423 tests, 1 failure, 0.32 s]
 }}}
 Just needs a suitable `# rel tol`...

--
Ticket URL: <http://trac.sagemath.org/ticket/16773#comment:59>
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