Monogenic fields arising from trinomials

DOI10.2140/involve.2022.15.299OpenAlexW2969974133MaRDI QIDQ2163057

Mohammad Ozaslan, Henry Lembeck, Hanson Smith, Katherine E. Stange, Ryan Ibarra

Publication date: 9 August 2022

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09793

zbMATH Keywords

power integral basisring of integerstrinomialmonogenic

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (6)

ON THE MONOGENITY OF CERTAIN BINOMIAL COMPOSITIONS ⋮ On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\) ⋮ On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\) ⋮ On common index divisor and monogenity of certain number fields defined by trinomials X⁶ + AX + B ⋮ On index and monogenity of certain number fields defined by trinomials ⋮ On monogenity of certain number fields defined by trinomials

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