Further Comments on Realization of Riemann Hypothesis via Coupling Constant Spectrum

2008/04/21 by R. Acharya, Acharya, R.
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #General Mathematics (math.GM) #Mathematical Physics (math-ph) #Statistical Mechanics and Entropy #Statistical and numerical algorithms #math-ph #math.GM #math.MP

paper · pdf · doi:10.48550/arxiv.0804.3099

5 pages, no figures, added paragraph after eq.16, eq.10 & eq.14 corrected

openalex publication_date 2008/04/21 · arxiv created 2008/04/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We invoke Carlson's theorem to justify and to confirm the results previously obtained on the validity of Riemann Hypothesis via the coupling constant spectrum of the zero energy S-wave Jost function a la N. N. Khuri, for the real, repulsive inverse-square potential in non-relativistic quantum mechanics in 3 dimensions.

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