Local criteria for universal and primitively universal quadratic forms

Autor:	B.L.K. Gunawardana, A. G. Earnest
Rok vydání:	2021
Předmět:	Ring (mathematics) Pure mathematics Lattice (module) Algebra and Number Theory Quadratic equation 010102 general mathematics 010103 numerical & computational mathematics Positive-definite matrix 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Journal of Number Theory. 225:260-280
ISSN:	0022-314X
DOI:	10.1016/j.jnt.2021.02.005
Popis:	In this paper, we provide criteria to determine whether a given integral quadratic lattice over a ring Z p of p-adic integers is Z p -universal or primitively Z p -universal. The criteria are stated explicitly in terms of a Jordan splitting of the lattice. As an application of the local criteria, we complete the determination of the universal positive definite classically integral quaternary quadratic forms that are almost primitively universal.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6c9f1ab562223a2bdd4a79f2549a5e96 https://doi.org/10.1016/j.jnt.2021.02.005 Zobrazit plný text záznamu Full Text from ScienceDirect