Chebyshev Mappings of Finite Fields

نویسندگان

  • Julian Rosen
  • Zachary Scherr
  • Benjamin Weiss
  • Michael E. Zieve
چکیده

For a fixed prime p, we consider the set of maps Z/pZ → Z/pZ of the form a 7→ Tn(a), where Tn(x) is the degree-n Chebyshev polynomial of the first kind. We observe that these maps form a semigroup, and we determine its size and structure.

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عنوان ژورنال:
  • The American Mathematical Monthly

دوره 119  شماره 

صفحات  -

تاریخ انتشار 2012