Minorations d’unités fondamentales—applications

DOI10.1017/S0027763000004396zbMath0774.11064OpenAlexW1934932807MaRDI QIDQ5288117

Stéphane R. Louboutin

Publication date: 10 August 1993

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

Full work available at URL: https://doi.org/10.1017/s0027763000004396

zbMATH Keywords

lower boundsfundamental unitreduced ideals

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Algebraic number theory computations (11Y40) Cubic and quartic extensions (11R16)

Related Items (1)

Periodic Jacobi-Perron algorithms in cubic fields and fundamental units

Cites Work

• Two families of periodic Jacobi algorithms with period lengths going to infinity
• A characterization of certain real quadratic fields
• Continued fractions and number-theoretic computations
• Class group and fundamental unit of quadratic extensions over a principal imaginary quadratic field
• Fundamental units and cycles in the period of real quadratic number fields. I
• Prime Producing Quadratic Polynomials and Class-Numbers of Real Quadratic Fields
• On determining certain real quadratic fields with class number one and relating this property to continued fractions and primality properties

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