Publication: On the length of critical orbits of stable quadratic polynomials
On the length of critical orbits of stable quadratic polynomials
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Ostafe, A., & Shparlinski, I. E. (2010). On the length of critical orbits of stable quadratic polynomials. Proceedings of the American Mathematical Society, 138, 2653–2656. https://doi.org/10.1090/S0002-9939-10-10404-3
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We use the Weil bound of multiplicative character sums, together with some recent results of N. Boston and R. Jones, to show that the critical orbit of quadratic polynomials over a finite field of q elements is of length O(q(3/4)), improving upon the trivial bound q.
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- Ostafe, Alina
- Shparlinski, Igor E
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Ostafe, A., & Shparlinski, I. E. (2010). On the length of critical orbits of stable quadratic polynomials. Proceedings of the American Mathematical Society, 138, 2653–2656. https://doi.org/10.1090/S0002-9939-10-10404-3
