Lower Bounds for Class Numbers of Real Quadratic and Biquadratic Fields
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Publication:3769001
DOI10.2307/2046385zbMath0632.12006OpenAlexW4252357022MaRDI QIDQ3769001
Publication date: 1987
Full work available at URL: https://doi.org/10.2307/2046385
Quadratic extensions (11R11) Cubic and quartic extensions (11R16) Iwasawa theory (11R23) Linear Diophantine equations (11D04) Totally real fields (11R80)
Related Items (9)
Bounds of the ideal class numbers of real quadratic function fields ⋮ Class numbers of certain families of totally real biquadratic fields and a result of Mollin ⋮ Period four and real quadratic fields of class number one ⋮ Some criteria for class numbers to be non-one ⋮ On the divisor function and class numbers of real quadratic fields. III ⋮ Lower bound for the class number of \(\mathbb{Q} (\sqrt{n^2+4})\) ⋮ On the divisor function and class numbers of real quadratic fields. I ⋮ A necessary and sufficient condition for \(k=\mathbb{Q}\left ( \sqrt{4 n^2 + 1}\right)\) to have class number \(\omega\left( n\right)+c \) ⋮ Lower bound for class numbers of certain real quadratic fields
Cites Work
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- On the fundamental unit of real quadratic fields with norm 1
- 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
- A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis
- Class numbers and quadratic residues
- On Real Quadratic Fields Containing Units with Norm -1
- Corrigenda
- Diophantine equations and class numbers
- Almost-primes represented by quadratic polynomials
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