A finiteness theorem for representability of quadratic forms by forms

DOI10.1515/crll.2005.2005.581.23zbMath1143.11011OpenAlexW2129312050MaRDI QIDQ4677651

Byeong Moon Kim, Byeong-Kweon Oh, Myung-Hwan Kim

Publication date: 12 May 2005

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2005.2005.581.23

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Quadratic forms over global rings and fields (11E12)

Related Items

On primitively 2-universal quadratic forms ⋮ Minimal universality criterion sets on the representations of binary quadratic forms ⋮ The rank of new regular quadratic forms ⋮ Can we recover an integral quadratic form by representing all its subforms? ⋮ On Kitaoka's conjecture and lifting problem for universal quadratic forms ⋮ Isolations of cubic lattices from their proper sublattices ⋮ Positive definite quadratic forms representing integers of the form \(an^2+b\) ⋮ Minimal \(\mathcal S\)-universality criteria may vary in size ⋮ The 8-universality Criterion is Unique ⋮ Universal forms over \(\mathbb Q(\sqrt{5})\) ⋮ Growth of class numbers of positive definite ternary unimodular Hermitian lattices over imaginary number fields ⋮ The Kloosterman problem for binary Hermitian lattices ⋮ The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields ⋮ 2-universal Hermitian lattices over imaginary quadratic fields ⋮ PRIME-UNIVERSAL QUADRATIC FORMS AND ⋮ Unnamed Item ⋮ Number fields without universal quadratic forms of small rank exist in most degrees ⋮ TIGHT UNIVERSAL SUMS OF m-GONAL NUMBERS