UNSW Canberra

output

19972026

most citedEntangled massive mechanical oscillators

599 citations

Showing 2019 · math.NTShow all

2 papers · 2 filters

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

Explicit bounds for small prime nonresidues

Shilin Ma, Kevin J. McGown, Devon Rhodes +1

Let $χ$ be a Dirichlet character modulo a prime~ $p$ . We give explicit upper bounds on $q_{1} < q_{2} < \dots < q_{n}$ , the $n$ smallest prime nonresidues of $χ$ . More precisely, given $n_{0}$ an…