Class number one criteria for real quadratic fields. I
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Publication:579313
DOI10.3792/pjaa.63.121zbMath0625.12002OpenAlexW2014733446MaRDI QIDQ579313
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.63.121
Related Items (10)
Continued fractions and real quadratic fields ⋮ Class number one problem for real quadratic fields. (The conjecture of Gauss) ⋮ Fields of small class number in the family \(\mathbb{Q}(\sqrt{9m^2+4m})\) ⋮ Unnamed Item ⋮ Period four and real quadratic fields of class number one ⋮ Solution of a problem of Yokoi ⋮ On a determination of real quadratic fields of class number one and related continued fraction period length less than 25 ⋮ Class number one criteria for real quadratic fields. II ⋮ On the divisor function and class numbers of real quadratic fields. II ⋮ Bases normales d'entiers relatives quadratiques. (Normal relative quadratic integral bases)
Cites Work
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- Über die Bestimmung der Grundeinheit gewisser reell-quadratischer Zahlkörper
- On a lower bound for the class number of an imaginary quadratic field
- On Euler's polynomial
- A complete determination of the complex quadratic fields of class-number one
- 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
- A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis
- Necessary and Sufficient Conditions for the Class Number of a Real Quadratic Field to be One, and a Conjecture of S. Chowla
- On a criterion for the class number of a quadratic number field to be one
- On the size of L(1,χ) and S. Chowla's hypothesis implying that L(1,χ)>0 for s>0 and for real characters χ
- Diophantine equations and class numbers
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