#4151: [with patch, needs review] implementation of Dickman's function
---------------------------+------------------------------------------------
 Reporter:  robertwb       |        Owner:  was       
     Type:  enhancement    |       Status:  new       
 Priority:  major          |    Milestone:  sage-3.1.3
Component:  number theory  |   Resolution:            
 Keywords:                 |  
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Changes (by robertwb):

  * summary:  [with patch, needs work] implementation of Dickman's function
              => [with patch, needs review] implementation of
              Dickman's function

Comment:

 Thanks for your comments and improvements, I've attached a follow up
 patch. Nice catch about the value at 0.

 I agree with you that I could be saving some recalculation, but I don't
 think it's a common enough use case to justify the additional complexity.
 In fact, I throw away a lot as I go along--for example I don't want to
 cache 1000-bit 1000-term polynomials just in case one wants
 dickman_rho(10) to extremely high precision after computing
 dickman_rho(100).

 I've opened #4168 to use native mpfr polynomials elsewhere, figuring it'd
 involve changes very irrelevant to this ticket.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4151#comment:5>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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