Monotonicity of the imaginary part of the Riemann $\hat{I}¾$ function in the region $S$

Abstract

This paper proves that the imaginary part of the Riemann $\hat{I}¾$ function is strictly monotonic with $b$ in the region $S=\{t|t=a+bi,0\le a\le 9.508,-1/2<b<1/2\}$. That leads to Im($\hat{I}¾$)=0 being true only when $b=0$ in $S$.

This paper only proves that there is no Riemannian nontrivial zero in the range less than 9.508, and the first Riemannian nontrivial zero is 14.1347, so this paper is meaningless