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arXiv:0705.2182 [math.NT]AbstractReferencesReviewsResources

Rational functions with linear relations

Ariane M. Masuda, Michael E. Zieve

Published 2007-05-15Version 1

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.

Comments: 8 pages
Journal: Proc. Amer. Math. Soc. 136 (2008), 1403--1408
Categories: math.NT, math.DS
Subjects: 39B12, 12E05
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