Indices of Algebraic Integers in Cubic Fields

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

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