#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 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 ...
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7013#comment:28>
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