Solvability of norm equations over cyclic number fields of prime degree

DOI10.1090/S0025-5718-96-00760-0zbMath0853.11101MaRDI QIDQ4718414

Vincenzo Acciaro

Publication date: 3 December 1996

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

algorithmabelian fieldspolynomial timedivision algebra

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class field theory (11R37) Other abelian and metabelian extensions (11R20)

Related Items

Distribution of prime ideals of higher residue degree across ideal classes in the class groups ⋮ Some Split Symbol Algebras of Prime Degree ⋮ Splitting full matrix algebras over algebraic number fields. ⋮ On quaternion algebras over the composite of quadratic number fields ⋮ A Lie algebra method for rational parametrization of Severi-Brauer surfaces. ⋮ Computing local Artin maps, and solvability of norm equations

Cites Work

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• Finding maximal orders in semisimple algebras over \(\mathbb{Q}\)
• Algorithmic properties of maximal orders in simple algebras over \(\mathbb{Q}\)
• An inequality for the discriminant of a polynomial
• Algorithms in Algebraic Number Theory