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arxiv: 0705.2182 · v1 · submitted 2007-05-15 · 🧮 math.NT · math.DS

Rational functions with linear relations

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keywords fieldfunctionslinearrationalalgebraicallycaseclosedfind
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We find all polynomials f,g,h over a field K such that g and h are linear and f(g(x))=h(f(x)). We also solve the same problem for rational functions f,g,h, in case the field K is algebraically closed.

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