Asymptotics for the number of Simple $(4a+1)$-Knots of Genus 1

Alison Beth Miller

We investigate the asymptotics of the total number of simple $4a+1$-knots with Alexander polynomial of the form $m{t}^2+(1-2m)t+m$ for some $m\in [-X,X]$. Using Kearton and Lev…