3 papers
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 is never a perfect power for . Building on this, Merca, Ono, and Tsai recently observed that for any fixed int…
math.NT2025
Sums of two units in number fields
Magdaléna Tinková, Robin Visser, Pavlo Yatsyna
Let be a number field with ring of integers . Let be the set of positive integers such that there exist units $\varepsilon, δ\in \mathcal{O}…
math.NT2025
Asymptotics of -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 -universal lattices over the ring of integers of totally real number fields. We also show that,…