Contour Hankel dynamics and indicator fields for the Riemann $\Xi$-function

Zhiliang Deng, Xiaomei Yang, Huazhong Lü

We develop a moving-contour Hankel framework for encoding local zero configurations of the Riemann $\Xi$-function. Weighted contour integrals of the logarithmic derivative ${\Xi }^{\prime }/\Xi$, ex…