What question did this study set out to answer?

The aim is to construct a unified framework for understanding the nontrivial zeros of the Riemann xi-function.

April 13, 20260 citationsOpen Access

A Hilbert–Pólya Spectral Construction for the Riemann Xi-Function

Key Points

The aim is to construct a unified framework for understanding the nontrivial zeros of the Riemann xi-function.
Developed a Hilbert–Pólya spectral construction.
Utilized analytic and operator-theoretic approaches.
Employed determinant arguments for analysis.
Provides insights into the critical line behavior of the nontrivial zeros.
Proposes a polished framework for submission and review.

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.

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Cite This Study

Tosho Lazarov Karadzhov (Wed,) studied this question.

synapsesocial.com/papers/69dc88303afacbeac03ea24a https://doi.org/https://doi.org/10.5281/zenodo.19504653

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