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The fractal dimension of the Riemann zeta zeros

Authors
  • Wang, Jingbo
Type
Preprint
Publication Date
Feb 18, 2011
Submission Date
Feb 18, 2011
Source
arXiv
License
Yellow
External links

Abstract

In this paper, we consider the nontrivial zeros of the Riemann zeta function as the eigenvalues of the Dirac operator on a fractal manifold. From the heat kernel expansion, we figure out that the fractal dimension of the manifold is about 1.1-1.2. Also we compare this result to the random matrix theory and the quantum chaos theory.

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