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aequationes mathematicae

, Volume 67, Issue 1–2, pp 160–168 | Cite as

On symmetric polynomials having triangular automorphisms

  • Mohamed Ayad
  • Philippe Ryckelynck
Research paper
  • 26 Downloads

Summary.

We solve the functional equation \( f(x, y) = f(y, x) = f(x, -y+ax+b) \) , where f(x, y) is a polynomial or a rational function.

Mathematics Subject Classification (2000).

Primary 13B25 20F05 39B32 42C05. 

Keywords.

Automorphisms Invariant field Invariant algebra Resultants. 

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Copyright information

© Birkhäuser-Verlag 2004

Authors and Affiliations

  1. 1.Université du Littoral - Côte d’OpaleCalaisFrance

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