Scattering for time series with an application to the zeta function of an algebraic curve

Details Scattering for time series with an application to the zeta function of an algebraic curve Scattering for time series with an application to the zeta function of an algebraic curve

1999-11-23

arxiv.org/abs/math/9911175v1

Mathematics

Number Theory

10 pages, latex with amsfonts

Scientific paper

I explain how the Lax-Phillips theory can be applied to a purely innovating time series and compute the corresponding scattering function. I then associate such a time series to an algebraic curve (of genus at least 1) over a finite field and show that the Riemann Hypothesis (proven long ago) holds if and only if the scattering is causal (this causality is not independently established, though).

Affiliated with

Also associated with

No associations

Rating

Scattering for time series with an application to the zeta function of an algebraic curve 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 Scattering for time series with an application to the zeta function of an algebraic curve, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scattering for time series with an application to the zeta function of an algebraic curve will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-304693