Weil's functional outside the Selberg class: programme overview, common notation, and the four-function comparison

Companion to four notes. It fixes the shared notation (the node test function, its transform, the explicit formula, and the channel split of the Weil functional by the support of n), collects the comparison of the Riemann zeta function, the Davenport–Heilbronn function, the Epstein zeta function of m²+5n² and ζ(s+δ)ζ(s−δ), and states in one place what each result depends on (certified; conditional on verified GRH; measured) and the priority position from a dated literature search. Written jointly with Claude, an AI system made by Anthropic, which carried out much of the computation, the derivations and the drafting; the human author is responsible for the content. Not peer reviewed. The package contains the PDF, its LaTeX source, the scripts and result files it cites, and the dated literature-search log behind its priority statements.