Zack Wolske

most citedIterates of Quadratics and Monogenicity

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math.NT2024

Critical Point Criteria and Dynamically Monogenic Polynomials

Joachim König, Hanson Smith, Zack Wolske

Let $K$ be a number field with ring of integers $O_{K}$ , and let $f (x) \in O_{K} [x]$ be a monic, irreducible polynomial. We establish necessary and sufficient conditi…

math.NT2024★ 1 cited

Iterates of Quadratics and Monogenicity

Hanson Smith, Zack Wolske

We investigate monogenicity and prime splitting in extensions generated by roots of iterated quadratic polynomials. Let $f (x) \in Z [x]$ be an irreducible, monic, quadratic p…