Families of polynomials of every degree with no rational preperiodic points

Author:

Sadek Mohammad

Publisher

Cellule MathDoc/CEDRAM

Subject

General Mathematics

Reference10 articles.

1. [1] Cohen, S. D. The distribution of Galois groups and Hilbert’s irreducibility theorem, Proc. Lond. Math. Soc., Volume 43 (1981), pp. 227-250

2. [2] Flynn, Eugene V.; Poonen, Bjorn; Schaefer, Edward F. Cycles of quadratic polynomials and rational points on a genus-2 curve, Duke Math. J., Volume 90 (1997) no. 3, pp. 435-463

3. [3] Ingram, Patrick Canonical heights and preperiodic points for certain weighted homogeneous families of polynomials, Int. Math. Res. Not., Volume 2019 (2019) no. 15, pp. 4859-4879

4. [4] Legrand, François Twists of superelliptic curves without rational points, Int. Math. Res. Not., Volume 2018 (2018) no. 4, pp. 1153-1176

5. [5] Morton, Patrick Arithmetic properties of periodic points of quadratic maps. II, Acta Arith., Volume 87 (1998) no. 2, pp. 89-102

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