Scale Free Analysis and the Prime Number Theorem

Details Scale Free Analysis and the Prime Number Theorem Scale Free Analysis and the Prime Number Theorem

2010-01-10

arxiv.org/abs/1001.1490v3

Fractals, Vol. 18, No. 2 (2010) 171-184

Mathematics

General Mathematics

AMS-latex 2e, 25 pages, A misprint in the printed paper is corrected

Scientific paper

We present an elementary proof of the prime number theorem. The relative error follows a golden ratio scaling law and respects the bound obtained from the Riemann's hypothesis. The proof is derived in the framework of a scale free nonarchimedean extension of the real number system exploiting the concept of relative infinitesimals introduced recently in connection with ultrametric models of Cantor sets. The extended real number system is realized as a completion of the field of rational numbers $Q$ under a {\em new} nonarchimedean absolute value, which treats arbitrarily small and large numbers separately from a finite real number.

Affiliated with

Also associated with

No associations

Rating

Scale Free Analysis and the Prime Number Theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Scale Free Analysis and the Prime Number Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scale Free Analysis and the Prime Number Theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128284