Work

Spectral Rigidity and Phase Cancellation of the Riemann Zeta Zeros

Year: 2026

Type: preprint

Abstract: In this paper, we investigate the convergence and spectral behavior of the explicit Chebyshev--Riemann formula. By analyzing the modulus of the spectral series associated with the non-trivial zeros $\rho$, we establish the conditions under which this oscillating term achieves a minimum amplitude, thereby constraining the real part of each zero to satisfy $\mathrm{Re}(\rho) = 1/2$.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24030260

Author: sghiar, mohamed

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225466695

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