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arxiv: 1507.00487 · v2 · pith:G3MAGBXQnew · submitted 2015-07-02 · 🧮 math.NT

Value sets of bivariate Chebyshev maps over finite fields

classification 🧮 math.NT
keywords mapsbivariatechebyshevfieldsfinitesetsvalueachieve
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We determine the cardinality of the value sets of bivariate Chebyshev maps over finite fields. We achieve this using the dynamical properties of these maps and the algebraic expressions of their fixed points in terms of roots of unity.

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