New bounds for the fundamental units and class numbers of real quadratic fields

DOI10.4134/BKMS.b200744zbMath1493.11147OpenAlexW3203131847MaRDI QIDQ5859945

A. Pekin, Sevcan Işikay

Publication date: 18 November 2021

Full work available at URL: https://avesis.istanbul.edu.tr/yayin/45a2476c-751e-43af-95c0-3c8f965e4f53/new-bounds-for-fundamental-units-and-class-numbers-of-real-quadratic-fields

zbMATH Keywords

class numberreal quadratic fieldcontinued fractionfundamental unit

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Continued fractions (11A55) Class numbers, class groups, discriminants (11R29)

Related Items (1)

On Yokoi’s Invariants and the Ankeny–Artin–Chowla conjecture

Cites Work

• Unnamed Item
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• Real quadratic fields with large class number
• Explicit representation of fundamental units of some quadratic fields
• Computer verification of the Ankeny--Artin--Chowla Conjecture for all primes less than $100000000000$
• Approximate formulae for L(1,χ)
• Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters
• An explicit upper bound for |L(1,χ)| when χ(2) = 1 and χ is even
• The fundamental unit and class number one problem of real quadratic fields with prime discriminant
• On the fundamental units and the class numbers of real quadratic fields
• The fundamental unit and bounds for class numbers of real quadratic fields
• A complete generalization of Yokoi's p-invariants
• Upper bounds for class numbers of real quadratic fields
• Approximate formulae for L(1,χ), II

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