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.
Cullinan, The discriminant of a composition of two polynomials , https://studylib.net/doc/8187082/the-discriminant-of-a-composition- Accessed: 2025-08-07
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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.