Statistics on Riemann zeros

Details Statistics on Riemann zeros Statistics on Riemann zeros

2011-12-01

arxiv.org/abs/1112.0346v1

Mathematics

Number Theory

47 pages, 75 figures

Scientific paper

We numerically study the statistical properties of differences of zeros of Riemann zeta function and L-functions predicted by the theory of the e\~ne product. In particular, this provides a simple algorithm that computes any non-real Riemann zeros from very large ones ("self-replicating property of Riemann zeros"). Also the algorithm computes the full sequence of non-real zeros of Riemann zeta function from the sequence of non-real zeros of any Dirichlet L-function ("zeros of L-functions know about Riemann zeros"). We also check that the first error to the convergence to the classical GUE statistic near 0 is a Fresnel distribution.

Affiliated with

Also associated with

No associations

Rating

Statistics on Riemann zeros 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 Statistics on Riemann zeros, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistics on Riemann zeros will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-139522