New invariants and class number problem in real quadratic fields
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Publication:4278771
DOI10.1017/S0027763000004700zbMath0788.11047MaRDI QIDQ4278771
Publication date: 5 June 1994
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Quadratic extensions (11R11) Units and factorization (11R27) Class numbers, class groups, discriminants (11R29)
Related Items (13)
Fundamental units for real quadratic fields determined by continued fraction conditions ⋮ Lower bounds for fundamental units of real quadratic fields ⋮ Explicit representation of fundamental units of some quadratic fields ⋮ Explicit representation of fundamental units of some real quadratic fields. II ⋮ On Yokoi’s Invariants and the Ankeny–Artin–Chowla conjecture ⋮ Solvability of the diophantine equation x2 − Dy2 = ± 2 and new invariants for real quadratic fields ⋮ Continued fractions and Gauss class number problem for real quadratic fields ⋮ A Lower Bound for the Class Number of Certain Real Quadratic Fields ⋮ Continued fractions and certain real quadratic fields of minimal type ⋮ A note on the structure of certain real quadratic number fields ⋮ Class number two problem for real quadratic fields with fundamental units with the positive norm ⋮ REAL QUADRATIC FIELDS, CONTINUED FRACTIONS, AND A CONSTRUCTION OF PRIMARY SYMMETRIC PARTS OF ELE TYPE ⋮ Diophantine equations \(x^2 -Dy^2 =-1, \pm 2,\) odd graphs, and their applications
Cites Work
- Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper
- On two conjectures on real quadratic fields
- A note on class number one problem for real quadratic fields
- The fundamental unit and class number one problem of real quadratic fields with prime discriminant
- The fundamental unit and bounds for class numbers of real quadratic fields
- On Real Quadratic Fields Containing Units with Norm -1
- Unnamed Item
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