Jost function, prime numbers and Riemann zeta function

Details Jost function, prime numbers and Riemann zeta function Jost function, prime numbers and Riemann zeta function

2003-03-06

arxiv.org/abs/math-ph/0303014v1

Physics

Mathematical Physics

Scientific paper

The large complex zeros of the Jost function (poles of the S matrix) in the complex wave number-plane for s-wave scattering by truncated potentials are associated to the distribution of large prime numbers as well as to the asymptotic behavior of the imaginary parts of the zeros of the Riemann zeta function on the critical line. A variant of the Hilbert and Polya conjecture is proposed and considerations about the Dirac sea as ``virtual resonances'' are briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Jost function, prime numbers and Riemann zeta function 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 Jost function, prime numbers and Riemann zeta function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jost function, prime numbers and Riemann zeta function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648994