Cycle structure of iterating Redei functions | Zendy

Claudio Qureshi | Zendy; Daniel Panario | Zendy; Rodrigo S. V. Martins | Zendy

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Cycle structure of iterating Redei functions

Author(s) -

Claudio Qureshi,

Daniel Panario,

Rodrigo S. V. Martins

Publication year - 2017

Publication title -

advances in mathematics of communications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.601

H-Index - 26

eISSN - 1930-5346

pISSN - 1930-5338

DOI - 10.3934/amc.2017034

Subject(s) - mathematics , quadratic equation , prime (order theory) , reciprocity law , exponentiation , reciprocity (cultural anthropology) , pure mathematics , mathematical analysis , mathematical physics , combinatorics , geometry , psychology , social psychology

Vasiga and Shallit [ 17 ] study tails and cycles in orbits of iterations of quadratic polynomials over prime fields. These results were extended to repeated exponentiation by Chou and Shparlinski [ 3 ]. We show, using the quadratic reciprocity law, that it is possible to extend these results to Redei functions over prime fields.

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