Solvability of the diophantine equation x2 − Dy2 = ± 2 and new invariants for real quadratic fields

DOI10.1017/S002776300000489XzbMath0804.11025MaRDI QIDQ4305895

Hideo Yokoi

Publication date: 22 January 1995

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

zbMATH Keywords

real quadratic fieldsPell equationquadratic diophantine equationsinvariants of number field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Quadratic and bilinear Diophantine equations (11D09)

Related Items (6)

Asymptotic behaviors of class number sums associated with Pell-type equations ⋮ Geometric description of \(\langle 2\rangle \)-polarised Hilbert squares of generic \(K3\) surfaces ⋮ On the Diophantine equation \(x^2 - Dy^2 = n\) ⋮ Unnamed Item ⋮ Continued fractions and certain real quadratic fields of minimal type ⋮ Diophantine equations \(x^2 -Dy^2 =-1, \pm 2,\) odd graphs, and their applications

Cites Work

• The fundamental unit and bounds for class numbers of real quadratic fields
• New invariants and class number problem in real quadratic fields

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