Value sets of Lattès maps over finite fields

DOI10.1016/J.JNT.2014.04.014zbMath1296.11077OpenAlexW2087617022MaRDI QIDQ740385

Ömer Küçüksakallı

Publication date: 2 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.04.014

zbMATH Keywords

elliptic curvecomplex multiplicationpermutationLattès mapDickson polynomial

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Polynomials over finite fields (11T06)

Related Items (4)

Bivariate polynomial mappings associated with simple complex Lie algebras ⋮ Density of periodic points for Lattès maps over finite field ⋮ Unnamed Item ⋮ Value sets of bivariate Chebyshev maps over finite fields

Cites Work

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• Chebyshev action on finite fields
• Value sets of Dickson polynomials over finite fields
• Graphs associated with the map \(x\mapsto x+x^{-1}\) in finite fields of characteristic three and five
• Graphs associated with the map 𝑥\𝑚𝑎𝑝𝑠𝑡𝑜𝑥+𝑥⁻¹ in finite fields of characteristic two
• The Arithmetic of Elliptic Curves
• The rational function analogue of a question of Schur and exceptionality of permutation representations
• Generalized division polynomials

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