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Class number one problem for real quadratic fields of a certain type

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Publication:2880461
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DOI10.4064/aa153-3-4zbMath1329.11118OpenAlexW2334111100MaRDI QIDQ2880461

Kostadinka Lapkova

Publication date: 13 April 2012

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/34517/1/sp.discr.aa_preprint.pdf


zbMATH Keywords

real quadratic fieldsclass number oneRichaud-Degert type


Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)


Related Items (7)

Divisibility of class numbers of imaginary quadratic fields whose discriminant has only three prime factors ⋮ Some criteria for class numbers to be non-one ⋮ On the \(k\)-free values of the polynomial \(xy^k + C\) ⋮ On the structure of order 4 class groups of \(\mathbb{Q}(\sqrt{n^2+1})\) ⋮ The class number one problem for the real quadratic fields $\mathbb {Q}(\sqrt {(an)^2+4a})$ ⋮ Distribution of Class Numbers in Continued Fraction Families of Real Quadratic Fields ⋮ Lower bound for class numbers of certain real quadratic fields




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