ITERATION OF QUADRATIC POLYNOMIALS OVER FINITE FIELDS

DOI10.1112/S0025579317000328zbMath1428.11204arXiv1701.02707OpenAlexW2578215641MaRDI QIDQ4604481

D. R. Heath-Brown

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02707

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Curves over finite and local fields (11G20) Polynomials over finite fields (11T06) Factorization (11Y05) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over finite ground fields (37P25)

Related Items (4)

Periodic points and tail lengths of split polynomial maps modulo primes ⋮ Iteration of polynomials \(AX^d + C\) over finite fields ⋮ Functional graphs of families of quadratic polynomials ⋮ Current trends and open problems in arithmetic dynamics

Cites Work

• Forms in many variables and differing degrees
• Polynomial values modulo primes on average and sharpness of the larger sieve
• A monte carlo method for factorization
• Wreath Products and Proportions of Periodic Points

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