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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math.NT2019★ 5 cited

Two explicit divisor sums

Michaela Cully-Hugill, Timothy Trudgian

We give explicit bounds on sums of $d (n)^{2}$ and $d_{4} (n)$ , where $d (n)$ is the number of divisors of $n$ and $d_{4} (n)$ is the number of ways of writing $n$ as a product of four numbe…

math.NT2019

A Conditional Explicit Result for the Prime Number Theorem in Short Intervals

Michaela Cully-Hugill, Adrian W. Dudek

We furnish an explicit bound for the prime number theorem in short intervals on the assumption of the Riemann hypothesis.