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

DOI10.1142/S1793042122500270OpenAlexW3192370214WikidataQ113776654 ScholiaQ113776654MaRDI QIDQ5069073

A. Pekin, Sevcan Işikay

Publication date: 8 April 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042122500270

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)

Cites Work

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• Real quadratic fields and the Ankeny-Artin-Chowla conjecture
• Explicit representation of fundamental units of some quadratic fields
• The class-number of real quadratic number fields
• Computer verification of the Ankeny--Artin--Chowla Conjecture for all primes less than $100000000000$
• 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
• New invariants and class number problem in real quadratic fields
• Upper bounds for class numbers of real quadratic fields
• A further note on the class number of real quadratic fields
• New bounds for the fundamental units and class numbers of real quadratic fields
• Ankeny-Artin-Chowla conjecture and continued fraction expansion

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