Technical report, version 1

Weil positivity on finite windows across L-functions

Certified windows for ζ, a pre-registered empirical decay law across degrees 1–3, a matched pair built on Borromean primes, and an unconditional bound for Dirichlet L-functions. Zac Elston, October 2026. doi:10.5281/zenodo.23163863

Interactive visualζ's zeros on the prime torus, with layers for Landau's bias, the Euler product, off-line pairs, the certified window bound and the Rédei L-function. Report (PDF)The results, each labelled certified, derived, empirical or numerical, with related work and the AI-assistance statement. Code and dataScripts, committed data, the pinned environment, and a claims manifest that regenerates every quoted decay-law number.

Nothing here proves or disproves the Riemann hypothesis. The report is unrefereed, and computation, derivations, code and drafting were carried out with AI assistance (Claude, with independent review by GPT models). The author is responsible for all content.