A BRIEF NOTE ON SOME INFINITE FAMILIES OF MONOGENIC POLYNOMIALS

DOI10.1017/S0004972719000182zbMath1461.11138OpenAlexW2913623411WikidataQ128375145 ScholiaQ128375145MaRDI QIDQ5232882

Leonard Jones

Publication date: 13 September 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972719000182

zbMATH Keywords

discriminantirreduciblemonogenic

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (7)

On necessary and sufficient conditions for the monogeneity of a certain class of polynomials ⋮ Unnamed Item ⋮ Infinite families of non-monogenic trinomials ⋮ Some new polynomial discriminant formulas ⋮ Unnamed Item ⋮ Some new infinite families of monogenic polynomials with non-squarefree discriminant ⋮ Discriminants of special quadrinomials

Cites Work

• Chebyshev action on finite fields
• Factorization of polynomials over finite fields
• A construction of polynomials with squarefree discriminants
• Squarefree values of trinomial discriminants
• Resultants and discriminants of Chebyshev and related polynomials
• Advanced Topics in Computional Number Theory
• The ABC conjecture, arithmetic progressions of primes and squarefree values of polynomials at prime arguments
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• Unnamed Item
• Unnamed Item

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