Michaela Cully-Hugill

activity

20192024

most citedPrimes between consecutive powers

13 citations · 24 across the 8 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.NT2021

On the error term in the explicit formula of Riemann--von Mangoldt

Michaela Cully-Hugill, Daniel R. Johnston

We provide an explicit $O (x lo g x / T)$ error term for the Riemann--von Mangoldt formula by making results of Wolke (1983) and Ramaré (2016) explicit. We also include applications to…

math.NT2021★ 13 cited

Primes between consecutive powers

Michaela Cully-Hugill

This paper updates the explicit interval estimate for primes between consecutive powers. It is shown that there is least one prime between $n^{155}$ and $(n + 1)^{155}$ for all $n\ge…

math.NT2021★ 6 cited

Explicit Interval Estimates for Prime Numbers

Michaela Cully-Hugill, Ethan S. Lee

Using a smoothing function and recent knowledge on the zeros of the Riemann zeta-function, we compute pairs of $(Δ, x_{0})$ such that for all $x \geq x_{0}$ there exists at least one pr…