Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number)

DOI10.1016/0022-314X(90)90054-UzbMath0697.12007MaRDI QIDQ911648

Franz Halter-Koch

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

continued fraction expansionquadratic orderslower bounds for class numberorders of Richaud-Degert types

Mathematics Subject Classification ID

Quadratic extensions (11R11) Integral domains (13G05) Iwasawa theory (11R23) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (7)

Explicit representation of fundamental units of some real quadratic fields. II ⋮ Direct-sum cancellation for modules over real quadratic orders ⋮ On the divisor function and class numbers of real quadratic fields. III ⋮ On the divisor function and class numbers of real quadratic fields. IV ⋮ The fundamental unit and bounds for class numbers of real quadratic fields ⋮ On the divisor function and class numbers of real quadratic fields. I ⋮ On the divisor function and class numbers of real quadratic fields. II

Cites Work

• Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper
• Continued fractions and real quadratic fields
• On the fundamental units and the class numbers of real quadratic fields. II
• Real quadratic number fields with large fundamental units
• On the fundamental units and the class numbers of real quadratic fields
• 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
• Lower Bounds for Class Numbers of Real Quadratic Fields
• On the diophantine equationx²−py²= ± 4qand the class number of real subfields of a cyclotomic field
• Applications of a Continued Fraction Algorithm to Some Class Number Problems
• Diophantine equations and class numbers
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