The index of a quartic field defined by a trinomial X4 + aX + b

DOI10.1142/S0219498818501979zbMath1437.11149OpenAlexW2765858428MaRDI QIDQ4561488

Blair K. Spearman, Chad Tyler Davis

Publication date: 6 December 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501979

zbMATH Keywords

index formtrinomialfield indexquartic field\(p\)-integral basis

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Cubic and quartic extensions (11R16)

Related Items (6)

On monogenity of certain number fields defined by \(x^8+ax+b\) ⋮ AN EXPERIMENT ON THE MONOGENITY OF A FAMILY OF TRINOMIALS ⋮ On the index divisors and monogenity of number fields defined by x ⁵ + ax ³ + b ⋮ On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\) ⋮ On index divisors and monogenity of certain number fields defined by \(x^{12}+ax^m+b\) ⋮ On index and monogenity of certain number fields defined by trinomials

Cites Work

• NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS
• Effective Determination of the Decomposition of the Rational Primes in a Cubic Field
• 𝑝-integral bases of a cubic field
• Advanced Topics in Computional Number Theory
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