Polynomials with prescribed bad primes
Number Theory
2014-01-31 v1
Abstract
We tabulate polynomials in Z[t] with a given factorization partition, bad reduction entirely within a given set of primes, and satisfying auxiliary conditions associated to 0, 1, and infinity. We explain how these sets of polynomials are of particular interest because of their role in the construction of nonsolvable number fields of arbitrarily large degree and bounded ramification. Finally we discuss the similar but technically more complicated tabulation problem corresponding to removing the auxiliary conditions.
Cite
@article{arxiv.1401.7737,
title = {Polynomials with prescribed bad primes},
author = {David P. Roberts},
journal= {arXiv preprint arXiv:1401.7737},
year = {2014}
}
Comments
26 pages, 3 figures