Article

Parity Bifurcation, <em>P</em><sub>III</sub>(<em>D</em>6) Topology, and a Stieltjes Framework to Jensen Polynomial Hyperbolicity

2026-06-05

Abstract excerpt

We investigate the onset of hyperbolicity in Jensen polynomials $J_{d,n}$ associated with the Riemann $\Xi$-function and identify a robust parity-driven bifurcation with a natural geometric interpretation. Numerical analysis for degrees $5\le d\le 16$ reveals two distinct regimes. For even $d$, the roots form a compact complex cluster whose imaginary extent decreases smoothly, and the transition to hyperbolicity i...

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Literature Corpus work: c5e2711c-f115-5be6-9cad-221babf25811
DOI: 10.20944/preprints202606.0472.v1

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Parity Bifurcation, <em>P</em><sub>III</sub>(<em>D</em>6) Topology, and a Stieltjes Framework to Jensen Polynomial HyperbolicityDOI 10.20944/preprints202606.0472.v1Read

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