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Function Field


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_1alpha+a_2alpha^2+...+a_nalpha^n, where a_i in Q(z). Function fields are sometimes called algebraic function fields.


See also

Local Field, Number Field, Riemann Surface

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Cite this as:

Weisstein, Eric W. "Function Field." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FunctionField.html

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