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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
Sums of squares of integers except for a fixed one
Wonjun Chae, Yun-seong Ji, Kisuk Kim +3
In this article, we study a sum of squares of integers except for a fixed one. For any nonnegative integer , we find the minimum number of squares of integers except for who…