Class number one problem for real quadratic fields. (The conjecture of Gauss)

DOI10.3792/pjaa.64.53zbMath0662.12006OpenAlexW2002516014WikidataQ123345523 ScholiaQ123345523MaRDI QIDQ1113942

Hideo Yokoi

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1195513396

zbMATH Keywords

class numberreal quadratic fieldfundamental unit

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Iwasawa theory (11R23)

Related Items (6)

A note on class number one problem for real quadratic fields ⋮ On S. Chowla's conjecture ⋮ Solution of a problem of Yokoi ⋮ A note on the problem of Yokoi ⋮ On the divisor function and class numbers of real quadratic fields. II ⋮ Proof of class number formulae by machine

Cites Work

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• Class number one criteria for real quadratic fields. I
• On two conjectures on real quadratic fields
• A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis
• Class numbers and quadratic residues

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