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math.NT2026
On the Geometry and Shapes of Rank 2 Log Unit Lattices
Jose Cruz, Erik Holmes, Fatemeh Jalalvand +3
Every number field canonically gives rise to two lattices: its ring of integers and its log unit lattice. While the shapes of the former have undergone extensive research, far less…
math.NT2025
Classification of totally real number fields via their zeta function, regulator, and log unit lattice
José Cruz
In this paper, assuming the weak Schanuel Conjecture (WSC), we prove that for any collection of pairwise non-arithmetically equivalent totally real number fields, the residues at $…