Document Type
Article
Publication Date
12-2-2014
Publication Title
International Journal of Number Theory
Abstract
We tabulate polynomials in ℚ[t] with a given factorization partition, bad reduction entirely within a given set of primes, and satisfying auxiliary conditions associated to 0, 1, and ∞. We explain how these polynomials are of particular interest because of their role in the construction of nonsolvable number fields of arbitrarily large degree and bounded ramification.
Volume
11
Issue
4
First Page
1115
Last Page
1148
DOI
https://doi.org/10.1142/S179304211550061X
ISSN
1793-0421
Rights
©World Scientific Publishing Company
Recommended Citation
David P. Roberts. Polynomials with prescribed bad primes. International Journal of Number Theory 11 (2015), no. 4, 1115-1148.
Primo Type
Article
Comments
Preprint of an article published in International Journal of Number Theory, Volume 11, Issue 4, June 2015, Pages 1115-1148. https://doi.org/10.1142/S179304211550061X ©World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijnt