A necessary and sufficient condition for \(k=\mathbb{Q}\left ( \sqrt{4 n^2 + 1}\right)\) to have class number \(\omega\left( n\right)+c \)
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Publication:2081854
DOI10.1155/2022/6579960zbMath1497.11262OpenAlexW4281978691MaRDI QIDQ2081854
Publication date: 30 September 2022
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/6579960
Cites Work
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- Class number 2 criteria for real quadratic fields of Richaud-Degert type
- On the values at negative integers of the zeta-function of a real quadratic field
- Class number 1 criteria for real quadratic fields of Richaud-Degert type
- Lower bound for the class number of \(\mathbb{Q} (\sqrt{n^2+4})\)
- On the structure of order 4 class groups of \(\mathbb{Q}(\sqrt{n^2+1})\)
- Some criteria for class numbers to be non-one
- On the fundamental unit of real quadratic fields with norm 1
- Generalized Dedekind sums and transformation formulae of certain Lambert series
- The class number one problem for the real quadratic fields $\mathbb {Q}(\sqrt {(an)^2+4a})$
- Mollin's conjecture
- 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
- Lower Bounds for Class Numbers of Real Quadratic and Biquadratic Fields
- Yokoi's conjecture
- Chowla's conjecture
- A NOTE ON CERTAIN REAL QUADRATIC FIELDS WITH CLASS NUMBER UP TO THREE
- Über eine Gattung elementar-arithmetischer Klasseninvarianten reell-quadratischer Zahlkörper.
- On Real Quadratic Fields Containing Units with Norm -1
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