Definite quadratic forms over \({\mathbb F}_q[x]\)

DOI10.1016/S0021-8693(03)00114-5zbMath1042.11025OpenAlexW2092681981MaRDI QIDQ1409750

Larry J. Gerstein

Publication date: 22 October 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00114-5

zbMATH Keywords

isometrypolynomial ringdefinite quadratic lattice

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12)

Related Items (6)

A normal form for definite quadratic forms over $\mathbb{F}_{q}[t$] ⋮ Isospectral definite ternary \(\mathbb F_q[t\)-lattices] ⋮ Combining triple diagonal forms ⋮ Extending Djoković's lattice reduction algorithm to include isotropic lattices ⋮ Sharpening the triple diagonal form ⋮ Representations of definite binary quadratic forms over \(\mathbb F_q[t\)]

Cites Work

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• Hermitian matrices over polynomial rings
• Serre's conjecture
• Unimodular quadratic forms over global function fields
• Nearly unimodular quadratic forms
• The automorphisms of the orthogonal groups and their congruence subgroups over arithmetic domains.
• The Growth of Class Numbers of Quadratic Forms

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