A refinement of the Dress-Scharlau theorem

DOI10.1016/j.jnt.2015.06.003zbMath1331.11092OpenAlexW1123341274MaRDI QIDQ495289

Se Wook Jang, Byeong Moon Kim

Publication date: 9 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.003

zbMATH Keywords

continued fractionsreal quadratic fieldstotally positive integers

Mathematics Subject Classification ID

Units and factorization (11R27) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (8)

Norms of indecomposable integers in real quadratic fields ⋮ 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 ⋮ Additive structure of totally positive quadratic integers

Cites Work

• Indecomposable totally positive numbers in real quadratic orders

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