Sign changes in the prime number theorem

Thomas Morrill, Dave Platt, Tim Trudgian

Let $V(T)$ denote the number of sign changes in $\psi (x)-x$ for $x\in [1,T]$. We show that ${\mathrm{liminf}}_{T\to \infty }V(T)/\log T\ge {\gamma }_1/\pi +1.867\cdot 10^{-30}$, where $γ_{…