2 papers
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,…
math.NT2025
Kitaoka's Conjecture for quadratic fields
Vitezslav Kala, Jakub Krásenský, Dayoon Park +2
We prove that there are at most 13 real quadratic fields that admit a ternary universal quadratic lattice, thus establishing a strong version of Kitaoka's Conjecture for quadratic…