Dynamically distinguishing polynomials

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Dynamically distinguishing polynomials

A polynomial with integer coefficients yields a family of dynamical systems indexed by primes as follows: For any prime p, reduce its coefficients mod p and consider its action on the field Fp. We say a subset of Z[x] is dynamically distinguishable mod p if the associated mod p dynamical systems are pairwise non-isomorphic. For any k, M ∈ Z>1, we prove that there are infinitely many sets of int...

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ژورنال

عنوان ژورنال: Research in the Mathematical Sciences

سال: 2017

ISSN: 2197-9847

DOI: 10.1186/s40687-017-0103-3