Finiteness of real quadratic fields which admit positive integral diagonal septanary universal forms

DOI10.1007/s002290050168zbMath0961.11016OpenAlexW2070283463MaRDI QIDQ1301740

Byeong Moon Kim

Publication date: 26 April 2001

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050168

zbMATH Keywords

quadratic formsreal quadratic fieldsdiagonal position universal forms

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12)

Related Items (10)

On primitively 2-universal quadratic forms ⋮ Lifting problem for universal quadratic forms over totally real cubic number fields ⋮ Number fields without n-ary universal quadratic forms ⋮ Lifting problem for universal quadratic forms ⋮ Universal quadratic forms over multiquadratic fields ⋮ On the rank of universal quadratic forms over real quadratic fields ⋮ The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields ⋮ There are no universal ternary quadratic forms over biquadratic fields ⋮ Indecomposable integers in real quadratic fields ⋮ Real quadratic fields admitting universal lattices of rank 7

This page was built for publication: Finiteness of real quadratic fields which admit positive integral diagonal septanary universal forms