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(1),
article number 012036.
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.
| Publication Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
Available under License Creative Commons: Attribution 3.0.
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