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Algebraic Function Field
Alternate name
Definition
A finite extension K = Q(z)(w) of the field Q(z) of rational functions in the indeterminate z, i.e., w is a root of a polynomial a_0 + a_1 α + a_2 α^2 + ... + a_n α^n, where a_i element Q(z). Function fields are sometimes called algebraic function fields.
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