Characterisation of primes dividing the index of a class of polynomials and its applications

DOI10.1017/S0004972724000182MaRDI QIDQ6666598

Anuj Jakhar

Publication date: 20 January 2025

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

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)

Cites Work

• Title not available (Why is that?)
• On prime divisors of the index of an algebraic integer
• On necessary and sufficient conditions for the monogeneity of a certain class of polynomials
• Number theory
• A Class of Trinomials with Galois Group S_n
• On the Galois group over $\mathbb Q$ of a truncated binomial expansion
• Characterization of primes dividing the index of a trinomial
• Infinite families of monogenic quadrinomials, quintinomials and sextinomials
• Diophantine Equations and Power Integral Bases
• A BRIEF NOTE ON SOME INFINITE FAMILIES OF MONOGENIC POLYNOMIALS

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