Note on distribution of units of real quadratic number fields

DOI10.3792/pjaa.77.161zbMath1002.11075OpenAlexW2072649320MaRDI QIDQ1609938

Norisato Kataoka

Publication date: 18 August 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.77.161

zbMATH Keywords

unitsquadratic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Distribution of integers with specified multiplicative constraints (11N25) Other analytic theory (11R47)

Related Items

The distribution of prime ideals in a real quadratic field with units having a given index in the residue class field.

Cites Work

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• Quelques applications du théorème de densité de Chebotarev
• On Artin's conjecture and Euclid's algorithm in global fields
• A quadratic analogue of Artin's conjecture on primitive roots.
• On the distribution of units modulo prime ideals in real quadratic fields
• Distribution of units of real quadratic number fields
• On Artin's conjecture.