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Jost function, prime numbers and Riemann zeta function

Authors
  • Joffily, S.
Type
Preprint
Publication Date
Mar 06, 2003
Submission Date
Mar 06, 2003
Identifiers
arXiv ID: math-ph/0303014
Source
arXiv
License
Unknown
External links

Abstract

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.

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