Monogenic polynomials with non-squarefree discriminant

DOI10.1090/proc/14858zbMath1436.11125OpenAlexW2982559146MaRDI QIDQ5218198

Leonard Jones

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14858

zbMATH Keywords

discriminantmonogenic polynomialABC-conjecturemonogenic field

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Related Items

On necessary and sufficient conditions for the monogeneity of a certain class of polynomials ⋮ Minimal Mahler measures for generators of some fields ⋮ Monogenity of iterates of polynomials ⋮ Unnamed Item ⋮ Infinite families of non-monogenic trinomials ⋮ Some new polynomial discriminant formulas ⋮ Some new infinite families of monogenic polynomials with non-squarefree discriminant ⋮ Monogenic trinomials with non-squarefree discriminant

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