Hanson Smith

activity

20242026

collaborators

Showing math.NTShow all

5 papers · 1 filter

math.NT2026

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

Dylan Scofield, Hanson Smith

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

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.NT2025

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.NT2025

Critical Point Criteria and Dynamically Monogenic Polynomials

Joachim KÃ¶nig, 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

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

Prime Splitting and Common Index Divisors in Radical Extensions

Critical Point Criteria and Dynamically Monogenic Polynomials

Iterates of Quadratics and Monogenicity

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