Tony Newton

An Exact Rational Refinement of Sang's Amplified-Numerator Zero-Free Boundary

We give an exact rational admissibility certificate for a small improvement in the amplified-reflected-numerator parameter geometry of Hejian Sang’s October 2026 preprint. Keeping its second-stage moment parameterand one of its other geometric parameters fixed, a six-unit integer...

Prime-Defined Approximations and Zero-Free Boundaries for the Completed Zeta Resolvent

We construct an entire function from finitely many von Mangoldtcoefficients whose locally uniform limit is the pole-regularized logarithmic derivativeof the Riemann zeta function on every fixed zero-free half-plane. The construction isexplicit, including its endpoint correction a...

Modular Bell Geometry of Two Tangent Double Cones: Reproducibility Code and Tests

Reproducibility code, exact algebraic checks, and controlled numerical tests supporting the modular Bell geometry of two tangent double cones in the free massless Majorana setting. The repository verifies the parabolic relative modular geometry, the tangent-contact Fourier multip...

Modular Bell Geometry of Two Tangent Double Cones: Reproducibility Code and Tests

Reproducibility code, exact algebraic checks, and controlled numerical tests supporting the modular Bell geometry of two tangent double cones in the free massless Majorana setting. The repository verifies the parabolic relative modular geometry, the tangent-contact Fourier multip...