A finite extension 
of the field 
of rational functions in the indeterminate 
, i.e., 
is a root of a polynomial 
, where 
. Function fields are sometimes called algebraic function fields.
Function Field
See also
Local Field, Number Field, Riemann SurfaceExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Function Field." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FunctionField.html