On two conjectures on real quadratic fields

DOI10.3792/pjaa.63.222zbMath0624.12002OpenAlexW2013557097WikidataQ123278139 ScholiaQ123278139MaRDI QIDQ1092110

Ming-Guang Leu, Hyun Kwang Kim, Takashi Ono

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.222

zbMATH Keywords

class number oneclass numbers of narrow typereal quadratic fields of Richaud-Degert type

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23)

Related Items (18)

New invariants and class number problem in real quadratic fields ⋮ On a conjecture of Ono on real quadratic fields ⋮ A problem on quadratic fields ⋮ Class number one problem for real quadratic fields. (The conjecture of Gauss) ⋮ The fundamental unit and class number one problem of real quadratic fields with prime discriminant ⋮ A NOTE ON CERTAIN REAL QUADRATIC FIELDS WITH CLASS NUMBER UP TO THREE ⋮ On a determination of real quadratic fields of class number one and related continued fraction period length less than 25 ⋮ A note on the problem of Yokoi ⋮ Partial Dedekind Zeta Values and Class Numbers of R–D Type Real Quadratic Fields ⋮ On certain real quadratic fields with class number 2 ⋮ Determination of certain real quadratic fields with class number two ⋮ Quadratic Residue Covers for Certain Real Quadratic Fields ⋮ The fundamental unit and bounds for class numbers of real quadratic fields ⋮ On a determination of certain real quadratic fields of class number two ⋮ Bases normales d'entiers relatives quadratiques. (Normal relative quadratic integral bases) ⋮ On certain real quadratic fields with class numbers 3 and 5 ⋮ On the finiteness of certain Rabinowitsch polynomials. II ⋮ Lower bound for class numbers of certain real quadratic fields

Cites Work

• A characterization of certain real quadratic fields
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