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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1115-1148 |
| Number of pages | 34 |
| Journal | International Journal of Number Theory |
| Volume | 11 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jun 5 2015 |
Bibliographical note
Publisher Copyright:© 2015 World Scientific Publishing Company.
Keywords
- Polynomial
- discriminant
- number field
- ramification