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On the discriminant, index of a certain class of polynomia ls, arXiv preprint arXiv:2602 · 2026 · arXiv 2602.15641

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math.NT 1

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Monogenic Fields from Polynomial Compositions with Applications

math.NT · 2026-05-01 · unverdicted · novelty 5.0

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.

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  • Monogenic Fields from Polynomial Compositions with Applications math.NT · 2026-05-01 · unverdicted · none · ref 4

    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.