Definition:Algebraic Number Theory

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Algebraic number theory is the branch of abstract algebra which studies structures in which the usual number fields are embedded.

As such it can also be considered to be a branch of number theory.

Also see

  • Results about algebraic number theory can be found here.

Historical Note

The field of algebraic number theory was initiated by Carl Friedrich Gauss, with his papers of $1828$ and $1832$ on biquadratic residues.