On the sign changes of $\psi (x)-x$

Maciej Grześkowiak, Jerzy Kaczorowski, Łukasz Pańkowski +1

We improve the lower bound for $V(T)$, the number of sign changes of the error term $\psi (x)-x$ in the Prime Number Theorem in the interval $[1,T]$ for large $T$. We show that \[ \lim…