The order of the reductions of an algebraic integer

DOI10.1016/j.jnt.2014.09.022zbMath1364.11146arXiv1107.4595OpenAlexW1975664169MaRDI QIDQ479578

Antonella Perucca

Publication date: 5 December 2014

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

Full work available at URL: https://arxiv.org/abs/1107.4595

zbMATH Keywords

primesdensityreductionsmultiplicative ordernumber field

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Distribution of prime ideals (11R44) Cyclotomic extensions (11R18)

Related Items

Divisibility parameters and the degree of Kummer extensions of number fields ⋮ Reductions of algebraic integers ⋮ EXPLICIT KUMMER THEORY FOR QUADRATIC FIELDS ⋮ Divisibility conditions on the order of the reductions of algebraic numbers ⋮ Addendum to: ``Reductions of algebraic integers ⋮ REDUCTIONS OF POINTS ON ALGEBRAIC GROUPS ⋮ The degree of Kummer extensions of number fields ⋮ Kummer theory for multiquadratic or quartic cyclic number fields ⋮ Reductions of one-dimensional tori

Uses Software

• SageMath

Cites Work

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• Criterion for a field to be abelian
• Density of prime divisors of linear recurrences
• Artin's Primitive Root Conjecture – A Survey

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