Showing math.NTShow all
2 papers · 1 filter
math.NT2017
Index divisibility in the orbit of 0 for integral polynomials
T. Alden Gassert, Michael T. Urbanski
Let $f(x) \in \bbz[x]$ and consider the index divisibility set $D = \{n \in \bbn : n \mid f^n(0)\}$. We present a number of properties of in the case that $(f^n(0))_{n=1}^\inft…
math.NT2017
A family of monogenic quartic fields arising from elliptic curves
T. Alden Gassert, Hanson Smith, Katherine E. Stange
We consider partial torsion fields (fields generated by a root of a division polynomial) for elliptic curves. By analysing the reduction properties of elliptic curves, and applying…