The \(abc\) conjecture and the fundamental system of units of certain real bicyclic biquadratic fields.

DOI10.3792/PJAA.75.198zbMath1037.11068OpenAlexW2080832028WikidataQ123261577 ScholiaQ123261577MaRDI QIDQ1977021

Shin-ichi Katayama

Publication date: 21 November 2000

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.75.198

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Higher degree equations; Fermat's equation (11D41)

Cites Work

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• The ABC conjecture and the powerful part of terms in binary recurring sequences
• On the units and the class numbers of certain composita of two quadratic fields
• Old and new conjectured diophantine inequalities

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