Robin Visser

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math.NT2026

On integers that are representable as the sum of two units

Robin Visser, Volker Ziegler

Let $K$ be a number field of degree $D$ with maximal order $O_{K}$ . We show that under certain conditions on $K$ , which in particular are always satisfied if $D$ is odd or…

math.NT2026

Repellent properties of perfect powers on partition functions: a heuristic approach

Summer Haag, Praneel Samanta, Swati +3

In 2013, Sun conjectured that the partition function $p (n)$ is never a perfect power for $n \geq 2$ . Building on this, Merca, Ono, and Tsai recently observed that for any fixed int…

math.NT2025

Asymptotics of $n$ -universal lattices over number fields

Dayoon Park, Robin Visser, Pavlo Yatsyna +1

We prove an explicit asymptotic formula for the logarithm of the minimal ranks of $n$ -universal lattices over the ring of integers of totally real number fields. We also show that,…

math.NT2025

Sums of two units in number fields

Magdaléna Tinková, Robin Visser, Pavlo Yatsyna

Let $K$ be a number field with ring of integers $O_{K}$ . Let $N_{K}$ be the set of positive integers $n$ such that there exist units $\varepsilon, δ\in \mathcal{O}_…

On integers that are representable as the sum of two units

Repellent properties of perfect powers on partition functions: a heuristic approach

Asymptotics of n-universal lattices over number fields

Sums of two units in number fields

Asymptotics of $n$ -universal lattices over number fields