On the Physics of the Riemann Zeros

He, Y-H. ORCID: 0000-0002-0787-8380, Jejjala, V. & Minic, D. (2010). On the Physics of the Riemann Zeros. Journal of Physics: Conference Series, 462, 12036. doi: 10.1088/1742-6596/462/1/012036

Abstract

We discuss a formal derivation of an integral expression for the Li coefficients associated with the Riemann ξ-function which, in particular, indicates that their positivity criterion is obeyed, whereby entailing the criticality of the non-trivial zeros. We conjecture the validity of this and related expressions without the need for the Riemann Hypothesis and discuss a physical interpretation of this result within the Hilbert–P´olya approach. In this context we also outline a relation between string theory and the Riemann Hypothesis.