Indecomposable totally positive numbers in real quadratic orders

DOI10.1016/0022-314X(82)90064-6zbMath0507.12002MaRDI QIDQ1837231

Rudolf Scharlau, Andreas W. M. Dress

Publication date: 1982

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

zbMATH Keywords

continued fractionsoptimal boundstotally real fieldtotally positive integersindecomposablesKlein's geometrical interpretations

Mathematics Subject Classification ID

Quadratic extensions (11R11) Continued fractions (11A55) Totally real fields (11R80)

Related Items (13)

Norms of indecomposable integers in real quadratic fields ⋮ On Kitaoka's conjecture and lifting problem for universal quadratic forms ⋮ Trace and norm of indecomposable integers in cubic orders ⋮ Lifting problem for universal quadratic forms ⋮ Universal quadratic forms over multiquadratic fields ⋮ A refinement of the Dress-Scharlau theorem ⋮ On the rank of universal quadratic forms over real quadratic fields ⋮ Sums of squares in \(S\)-integers ⋮ There are no universal ternary quadratic forms over biquadratic fields ⋮ Indecomposable integers in real quadratic fields ⋮ Additive structure of totally positive quadratic integers ⋮ Zur Zerlegung totalpositiver Zahlen in Ordnungen totalreeller algebraischer Zahlkörper ⋮ Representing multiples of \(m\) in real quadratic fields as sums of squares

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