Universal quadratic forms and indecomposables over biquadratic fields

DOI10.1002/mana.201800109zbMath1456.11036arXiv1802.07811OpenAlexW2964143210WikidataQ129091404 ScholiaQ129091404MaRDI QIDQ5377208

Dominik Lachman, Martin Čech, Kristýna Zemková, Josef Svoboda, Magdaléna Tinková

Publication date: 23 May 2019

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07811

zbMATH Keywords

biquadratic number fielduniversal quadratic formindecomposable integer

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic forms over global rings and fields (11E12) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (8)

Lifting problem for universal quadratic forms over totally real cubic number fields ⋮ Trace and norm of indecomposable integers in cubic orders ⋮ Lifting problem for universal quadratic forms ⋮ There are no universal ternary quadratic forms over biquadratic fields ⋮ Indecomposable integers in real quadratic fields ⋮ Composition of binary quadratic forms over number fields ⋮ Pythagoras numbers of orders in biquadratic fields ⋮ Number fields without universal quadratic forms of small rank exist in most degrees

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