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The origins of algebraic number theory

1991
In his effort to construct a theory of biquadratic residues analogous to the theory of quadratic residues (Chapter 1), Gauss realised that it would be necessary to pass from the domain ℤ of integers to the domain $$z\left[ {\sqrt { - 1} } \right]$$ of numbers of the form \(x + y\sqrt {{ - 1}}\) with x,y ∈ℤ.
openaire   +2 more sources

Algebraic number theory.

Abstracts from the workshop held June 19--25, 2011; Vol. 8, no. 2, 1709-1768, 2011
B. Howard   +3 more
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Algebra And Number Theory

1999
Jean-Pierre Tignol, Mohammed Boulagouaz
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ALGEBRAIC NUMBER THEORY

Journal of the London Mathematical Society, 1969
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