Norms of indecomposable integers in real quadratic fields

DOI10.1016/j.jnt.2016.02.022zbMath1414.11131arXiv1512.04691OpenAlexW2299607497MaRDI QIDQ273457

Vítězslav Kala

Publication date: 22 April 2016

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

Full work available at URL: https://arxiv.org/abs/1512.04691

zbMATH Keywords

continued fractionadditively indecomposable integerreal quadratic number field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Continued fractions (11A55)

Related Items (8)

Trace and norm of indecomposable integers in cubic orders ⋮ Lifting problem for universal quadratic forms ⋮ Universal quadratic forms over multiquadratic fields ⋮ On the rank of universal quadratic forms over real quadratic fields ⋮ There are no universal ternary quadratic forms over biquadratic fields ⋮ Indecomposable integers in real quadratic fields ⋮ Distribution of Class Numbers in Continued Fraction Families of Real Quadratic Fields ⋮ Additive structure of totally positive quadratic integers

Cites Work

• Unnamed Item
• A refinement of the Dress-Scharlau theorem
• Indecomposable totally positive numbers in real quadratic orders
• UNIVERSAL QUADRATIC FORMS AND ELEMENTS OF SMALL NORM IN REAL QUADRATIC FIELDS
• On continued fractions of given period
• Number fields without n-ary universal quadratic forms
• Arithmetical Properties of Polynomials

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