Sharper Bounds for the Chebyshev function $\theta (x)$

Samuel Broadbent, Habiba Kadiri, Allysa Lumley +2

In this article, we provide explicit bounds for the prime counting function $\theta (x)$ in all ranges of $x$. The bounds for the error term for $\theta (x)-x$ are of the shape $\epsilon x$ and $\fra…