Characterization of primes dividing the index of a trinomial

DOI10.1142/S1793042117501391zbMath1431.11116OpenAlexW2618142043MaRDI QIDQ4595081

Anuj Jakhar, Neeraj Sangwan, Sudesh Kaur Khanduja

Publication date: 28 November 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042117501391

zbMATH Keywords

rings of algebraic integerspower basisindex of an algebraic integer

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class numbers, class groups, discriminants (11R29) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (21)

Monogenic Pisot and anti-Pisot polynomials ⋮ On index divisors and monogenity of certain septic number fields defined by x⁷ + ax³ + b ⋮ ON THE MONOGENITY OF CERTAIN BINOMIAL COMPOSITIONS ⋮ Non-monogenity of certain octic number fields defined by trinomials ⋮ AN EXPERIMENT ON THE MONOGENITY OF A FAMILY OF TRINOMIALS ⋮ Monogenic fields arising from trinomials ⋮ On common index divisors and monogenity of certain number fields defined by x⁵ + ax² + b ⋮ Monogenic binomial compositions ⋮ On non monogenity of certain number fields defined by trinomials \(x^6 + ax^3 + b\) ⋮ On the index divisors and monogenity of number fields defined by x ⁵ + ax ³ + b ⋮ GENERALIZED WALL-SUN-SUN PRIMES AND MONOGENIC POWER-COMPOSITIONAL TRINOMIALS ⋮ On nonmonogenic number fields defined by trinomials of type \(x^n +ax^m+b\) ⋮ On power basis of a class of number fields ⋮ A new condition for \(k\)-Wall-Sun-Sun primes ⋮ On nonmonogenic algebraic number fields ⋮ 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 ⋮ Non-monogenity of some number fields generated by binomials or trinomials of prime-power degree ⋮ Infinite families of non-monogenic trinomials ⋮ A note on Dedekind Criterion ⋮ Monogenic trinomials with non-squarefree discriminant

Cites Work

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• On prime divisors of the index of an algebraic integer
• Generating a power basis over a Dedekind ring
• Factorization of polynomials over finite fields
• On power basis of a class of algebraic number fields
• A Generalization of Dedekind Criterion
• ON A THEOREM OF DEDEKIND

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