L. Jones

activity

20042023

most citedA new integral basis for the centre of the Hecke algebra of type A

3 citations · 11 across the 15 of their papers we have counts for

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Showing 2019 · math.NTShow all

2 papers · 2 filters

math.NT2019

Monogenic cyclotomic compositions

Joshua Harrington, Lenny Jones

Let $m$ and $n$ be positive integers, and let $p$ be a prime. Let $T (x) = Φ_{p^{m}} (Φ_{2^{n}} (x))$ , where $Φ_{k} (x)$ is the cyclotomic polynomial of index $k$ . In this article,…

math.NT2019

Monogenic trinomials with non-squarefree discriminant

Lenny Jones, Daniel White

For each integer $n \geq 2$ , we identify new infinite families of monogenic trinomials $f (x) = x^{n} + A x^{m} + B$ with non-squarefree discriminant, many of which have small Galois group. Thes…