A Hilbert–Pólya Spectral Construction for the Riemann Xi-Function
Abstract
This preprint develops a Hilbert–Pólya spectral construction for the Riemann xi-function, with a unified analytic, operator-theoretic, and determinant argument aimed at the critical-line conclusion for the nontrivial zeros. The present version has been polished for submission to the Annals of Mathematics and has been submitted there for editorial consideration and review.
Fields of Study & Subjects
Analytic Number Theory Research
Spectral Theory in Mathematical Physics
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 March 2026
- Language
- EN
- Document type
- Preprint