Quadratische Ordnungen mit großer Klassenzahl. (Quadratic orders with large class number)
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Publication:911648
DOI10.1016/0022-314X(90)90054-UzbMath0697.12007MaRDI QIDQ911648
Publication date: 1990
Published in: Journal of Number Theory (Search for Journal in Brave)
continued fraction expansionquadratic orderslower bounds for class numberorders of Richaud-Degert types
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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