Zeros of Systems of ${\mathfrak p}$-adic Quadratic Forms

dc.creatorHeath-Brown, D. R.
dc.date2008-10-07
dc.date2009-04-24
dc.date.accessioned2026-07-07T13:07:35Z
dc.date.available2026-07-07T13:07:35Z
dc.descriptionIt is shown that a system of $r$ quadratic forms over a ${\mathfrak p}$-adic field has a non-trivial common zero as soon as the number of variables exceeds $4r$, providing that the residue class field has cardinality at least $(2r)^r$.
dc.descriptionRevised version, with better treatment and results for characteristic 2
dc.identifierhttps://arxiv.org/abs/0810.1122
dc.identifierhttp://arxiv.org/abs/0810.1122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228138
dc.subjectNumber Theory
dc.subject11D88; 11E08; 11E95
dc.titleZeros of Systems of ${\mathfrak p}$-adic Quadratic Forms
dc.typetext

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