#7013: [with patch, needs work] prime_pi and nth_prime
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   Reporter:  kevin.stueve   |       Owner:  kevin.stueve            
       Type:  enhancement    |      Status:  needs_work              
   Priority:  major          |   Milestone:  sage-4.3                
  Component:  number theory  |    Keywords:  primes, sieve, table,LMO
Work_issues:                 |      Author:  Kevin Stueve            
   Upstream:  N/A            |    Reviewer:  was,robertwb,GeorgSWeber
     Merged:                 |  
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Comment(by kevin.stueve):

 Replying to [comment:28 GeorgSWeber]:
 > Finally, I admit myself to post one off-topic message.
 >
 > My diploma thesis from 1997 was about the Odlyzko bounds for algebraic
 number fields. A main part dealt with the so-called "explicit formulae",
 see e.g. chapters three and four in S. Patterson, "An introduction to the
 Riemann zeta-function", Cambridge studies in advanced mathematics; 14.
 >
 > Until I read your writeup, I didn't knew about the What is Riemann's
 Hypothesis? (Draft)
 > from Barry Mazur and William --- the fourth version of the formulations
 of the RH (in their counting) is intimately related to the "explicit
 formulae" and their applications.
 > And of course to Li, prime counting, and so on ...

 Thanks!  I just purchased that book from Amazon.  What does the 14
 represent?  Is it a page number?  Do you have an electronic copy of your
 1997 thesis?  I did a Google search and wasn't able to find it.

 Kevin Stueve

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7013#comment:31>
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