Hanson Smith

most citedIterates of Quadratics and Monogenicity

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2025

Prime Splitting and Common $N$ -Index Divisors in Radical Extensions: Part $p = 2$

Dylan Scofield, Hanson Smith

Following work of Vélez, we explicitly describe the splitting of the integral prime 2 in the radical extension $Q (n a)$ , where $x^{n} - a$ is an irreducible polynomial…

math.NT2025

General Boyd-Lawton Theorems with Multivariable Limits

Wayne Aitken, Kimberly Ayers, Hanson Smith

The classical Boyd-Lawton theorem concerning Mahler measures has recently been extended to multivariable limits by Brunault, Guilloux, Mehrabdollahei, and Pengo. In another directi…

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

Prime Splitting and Common Index Divisors in Radical Extensions

Hanson Smith

We explicitly describe the splitting of odd integral primes in the radical extension $Q (n a)$ , where $x^{n} - a$ is an irreducible polynomial in $Z [x]$ . Our m…

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…

Prime Splitting and Common N-Index Divisors in Radical Extensions: Part p=2

General Boyd-Lawton Theorems with Multivariable Limits

Critical Point Criteria and Dynamically Monogenic Polynomials

Prime Splitting and Common Index Divisors in Radical Extensions

Iterates of Quadratics and Monogenicity

Prime Splitting and Common $N$ -Index Divisors in Radical Extensions: Part $p = 2$