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What is Algebraic Integers and Discriminants Analysis about?

The document discusses the relationship between the discriminants of algebraic integers and their corresponding number fields, focusing on the minimal index of primitive algebraic integers. It presents upper bounds for this minimal index in terms of the degree and discriminant of the field, along with specific theorems and corollaries that establish these bounds. Additionally, examples are provided to illustrate the sharpness of these bounds, particularly for fields of even degree.

Author

idrissbadoolivier

Language

EN