On a criterion for the class number of a quadratic number field to be one

DOI10.1017/S0027763000018961zbMath0447.12006MaRDI QIDQ3892332

Masakazu Kutsuna

Publication date: 1980

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

class number onereal quadratic number field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23)

Related Items (10)

Continued fractions and real quadratic fields ⋮ Generalized Ono invariant and Rabinovitch’s theorem for real quadratic fields ⋮ On prime valued polynomials and class numbers of real quadratic fields ⋮ NECESSARY AND SUFFICIENT CONDITIONS FOR UNIQUE FACTORIZATION IN ℤ[(-1 + √<i>d</i>)/2] ⋮ Prime producing quadratic polynomials associated with real quadratic fields of class-number one ⋮ A complete determination of Rabinowitsch polynomials ⋮ Class number one criteria for real quadratic fields. I ⋮ A simple criterion for the class number of a quadratic number field to be one ⋮ Necessary and Sufficient Conditions for the Class Number of a Real Quadratic Field to be One, and a Conjecture of S. Chowla ⋮ On the finiteness of certain Rabinowitsch polynomials

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