Kirsten Wilk

collaborators

2 papers

math.NT2026

Bounds for Mertens Sums

Samuel Broadbent, Andrew Fiori, Habiba Kadiri +2

In this article we provide new bounds for the Mertens sums and products including $\sum_{p \leq x} p^{- 1}$ and $\prod_{p \leq x} (1 - \frac{1}{p})$ which provide superior exponential a…

math.NT2020

Sharper Bounds for the Chebyshev function $θ (x)$

Samuel Broadbent, Habiba Kadiri, Allysa Lumley +2

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

Bounds for Mertens Sums

Sharper Bounds for the Chebyshev function θ(x)

Sharper Bounds for the Chebyshev function $θ (x)$