3 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.NT2026
On the Squarefree Values of Degree- Polynomials
Sergio Ricardo Zapata Ceballos, Fatemeh Jalalvand
In this work, we show that if is an irreducible monic integer polynomial of degree (with prime), whose defining field extension of contains a Galois ex…
math.NT2025
Unit lattices of -quartic number fields with signature
Sergio Ricardo Zapata Ceballos, Sara Chari, Erik Holmes +5
There has been a recent surge of interest on distributions of shapes of unit lattices in number fields, due to both their applications to number theory and the lack of known result…