On the zeros of Riemann $\Xi (z)$ function

Yaoming Shi

The Riemann $\Xi (z)$ function (even in $z$) admits a Fourier transform of an even kernel $\Phi (t)=4e^{9t/2}{\theta }^{\prime \prime }(e^{2t})+6e^{5t/2}{\theta }^{\prime }(e^{2t})$. Here $\theta (x):={\theta }_3(0,ix)$ and ${\theta }_3(0,z)$ is a J…