City Research Online

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:
[thumbnail of He_2013_J._Phys.__Conf._Ser._462_012036.pdf]
Preview
Text - Published Version
Available under License Creative Commons: Attribution 3.0.

Download (687kB) | Preview

Export

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login