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arxiv: 1707.05516 · v1 · pith:U2RD5MN6new · submitted 2017-07-18 · 🧮 math.NT

Value sets of bivariate folding polynomials over finite fields

classification 🧮 math.NT
keywords fieldsfinitesetsvalueachievealgebrasassociatedbivariate
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We find the cardinality of the value sets of polynomial maps associated with simple complex Lie algebras $B_2$ and $G_2$ over finite fields. We achieve this by using a characterization of their fixed points in terms of sums of roots of unity.

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