sci.physics

From Osher Doctorow

The University of Michigan finally scores heavily in the really
relevant scoreboard for physics with K. Soundarajan's "The
distribution of prime numbers," 20 pages, arXiv: math/0606408 v1
[] 16 Jun 2006.

The paper is super-valuable for the latest research up to mid-2006 on
primes and their densities and successive differences and the
distributions of the latter.

The paper summarizes three types of main research including
Soundarajan's own and involving some top historical people in
mathematics including Harald Cramer, Hardy and Littlewood, Gallagher,
Selberg, etc.

Three scenarios are involved with well-motivated (including by
numerical data) conjectures, namely microscopic, mesoscopic, and
macroscopic, involving short, medium-short, and long intervals, and
respective Poisson, Gaussian (normal), and a specific non-universal
probability distributions. Readers should review some simple online
summaries of these probability distributions before finishing reading
the paper. The conjectures mentioned are wide open for proof, and so
far ideas for proofs have only scratched the surface.

The Reader who keeps commenting on my posts with the one-liner or one-
worder "trivial" should have his head examined before finishing the
paper. I suppose that type or State Dept type
propagandists as well as graffiti artists and trolls enjoy
dehumanizing and "trivializing" their opponents.

Osher Doctorow