On certain Diophantine equations in algebraic number fields

DOI10.3792/pjaa.58.410zbMath0513.10018OpenAlexW2052851730MaRDI QIDQ1050385

Mutsuo Watabe

Publication date: 1982

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.58.410

zbMATH Keywords

unitsroots of unityDiophantine equationsalgebraic numberstotally real field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cubic and quartic Diophantine equations (11D25) Higher degree equations; Fermat's equation (11D41) Algebraic numbers; rings of algebraic integers (11R04) Linear Diophantine equations (11D04)

Related Items

On certain cubic fields. I, II ⋮ On certain cubic fields. V

Cites Work

• Unnamed Item
• On a cyclotomic Diophantine equation
• On the solutions of diophantine equations in units
• A note on a cyclotomic diophantine equation
• Diophantine equations in cyclotomic fields.