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arXiv · 1711.00490

Julia Robinson numbers and arithmetical dynamic of quadratic polynomials

Marianela Castillo Fernández·Xavier Vidaux·Carlos R. Videla
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Abstract

For rings $\mathcal{O}_K$ of totally real algebraic integers, J. Robinson defined a set which is always $\{+\infty\}$ or of the form $[\lambda,+\infty)$ or $(\lambda,+\infty)$ for some real number $\lambda\ge4$. All known examples give either $\{+\infty\}$ or $[4,+\infty)$. In this paper, we construct infinitely many fields such that the set is an interval, but not equal to $[4,+\infty)$.

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Marianela Castillo Fernández, Xavier Vidaux, Carlos R. Videla. 2017-11-01. Julia Robinson numbers and arithmetical dynamic of quadratic polynomials. https://arxiv.org/abs/1711.00490

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