# Indices of Algebraic Integers in Cubic Fields

@inproceedings{Smith2018IndicesOA, title={Indices of Algebraic Integers in Cubic Fields}, author={Jeremy Smith}, year={2018} }

- Published 2018

If is of degree n over , then is the ratio between the volume of a fundamental parallelepiped in the -lattice generated by to the volume of a fundamental parallelepiped in the -lattice generated by an integral basis for . Thus, is essentially a determinant calculation. An integral basis for may be written in terms of in such a way that is the product of the denominators appearing in the basis.