Necessary and sufficient conditions are given for monogenic number fields arising from roots of polynomials composed as f(x^k + b) for two families of irreducible f, along with asymptotic counts and an application to non-square-free discriminants.
Jones, Monogenic polynomials with non-squarefree discriminant , Proceedings of the American Mathematical Society 148 (2020), no
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Monogenic Fields from Polynomial Compositions with Applications
Necessary and sufficient conditions are given for monogenic number fields arising from roots of polynomials composed as f(x^k + b) for two families of irreducible f, along with asymptotic counts and an application to non-square-free discriminants.