On the diophantine equationx2−py2= ± 4qand the class number of real subfields of a cyclotomic field

DOI10.1017/S0027763000020481zbMath0506.10012MaRDI QIDQ4742851

Hideo Yokoi

Publication date: 1983

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

class numberreal quadratic fieldquadratic diophantine equationmaximal real subfield of cyclotomic field

Mathematics Subject Classification ID

Iwasawa theory (11R23) Linear Diophantine equations (11D04)

Related Items (11)

On the Insolubility of a Class of Diophantine Equations and the Nontriviality of the Class Numbers of Related Real Quadratic Fields of Richaud-Degert Type ⋮ Asymptotic behaviors of class number sums associated with Pell-type equations ⋮ On a class of insoluble binary quadratic diophantine equations ⋮ On the divisibility of class numbers of quadratic fields and the solvability of Diophantine equations ⋮ Cycles canoniques d’ideaux reduits et nombre des classes de certains corps quadratique reels ⋮ Generalized Ono invariant and Rabinovitch’s theorem for real quadratic fields ⋮ Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number) ⋮ On the fundamental units and the class numbers of real quadratic fields ⋮ Diophantine equations and class numbers ⋮ The fundamental unit and bounds for class numbers of real quadratic fields ⋮ On the divisor function and class numbers of real quadratic fields. I

Cites Work

• Unnamed Item
• Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper
• On the Class-Number of the Maximal Real Subfield of a Cyclotomic Field

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