English

Towards a spectral proof of Riemann's hypothesis

Spectral Theory 2017-08-03 v1

Abstract

The paper presents evidence that Riemann's xi function evaluated at 2 sqrt(E) could be the characteristic function P(E) for the magnetic Laplacian minus 85/16 on a surface of curvature -1 with magnetic field 9/4, a cusp of width 1, a DIrichlet condition at a point, and other conditions not yet determined.

Keywords

Cite

@article{arxiv.1708.00440,
  title  = {Towards a spectral proof of Riemann's hypothesis},
  author = {Robert S. MacKay},
  journal= {arXiv preprint arXiv:1708.00440},
  year   = {2017}
}