2 papers
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.NT2024
On the -ranks of class groups of certain Galois extensions
Ufuoma Asarhasa, Rusiru Gambheera, Debanjana Kundu +2
Let be an odd prime, let be a prime with , and let be a primitive -th root of unity. We study the -rank of the class group of $\mathbb{Q}(ζ…