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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228138It 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 $(2r)^r$.Revised version, with better treatment and results for characteristic 2Number Theory11D88; 11E08; 11E95Zeros of Systems of ${\mathfrak p}$-adic Quadratic Formstext