Supplementary code for ‘A New Variational Approach for the Numerical Location of Hardy Z-Function Zeros on the Real Line’

This dataset contains supplementary Mathematica notebooks and Python scripts for the article ``A New Variational Approach for the Numerical Location of Hardy Z-Function Zeros on the Real Line''. The code implements the accelerated approximate functional equation for the Hardy $Z$-function and the associated $A$-variation space, and is designed to reproduce the numerical experiments and figures discussed in the paper.

The Mathematica notebooks provide implementations of the core section $Z_0(t)$, the deformed sections $Z_N(t;\overline{a})$, and the visualization of zero dynamics along linear and non-linear $A$-variation paths, including examples involving good and bad Gram points and bad Rosser blocks. The Python scripts focus on numerical exploration, zero detection, and basic post-processing (e.g.\ plotting and data export) for larger ranges of $t$.

A \texttt{README} file explains the content and purpose of each file, gives minimal setup instructions (including required versions and dependencies), and indicates how to reproduce the main examples from the paper. The dataset is intended to facilitate verification of the reported experiments and to serve as a starting point for further numerical investigations of the $A$-variation framework and the zeros of $Z(t)$.