rational function

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rational function

n.
A function that can be expressed as a quotient of polynomials, excluding division by zero.
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Let G be a finite group acting on the rational function field k([x.sub.g] | g [member of] G) by k-automorphisms h([x.sub.g]) = [x.sub.hg] for any g, h [member of] G.
Kuniyoshi, Certain subfields of rational function fields, in Proceedings of the international symposium on algebraic number theory (Tokyo & Nikko, 1955), 241-243, Science Council of Japan, Tokyo, 1956.
Such curves ate induced by algebraic functions fields obtained from elementary abelian p-extensions of the rational function field [F.sub.q](x) using the trace operator [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]