Rational 6-cycles under Iteration of Quadratic Polynomials
نویسنده
چکیده
We present a proof, which is conditional on the Birch and Swinnerton-Dyer Conjecture for a specific abelian variety, that there do not exist rational numbers x and c such that x has exact period N = 6 under the iteration x 7→ x + c. This extends earlier results by Morton for N = 4 and by Flynn, Poonen and Schaefer for N = 5.
منابع مشابه
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