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تسجيل مستخدم جديدZeros of Systems of ${mathfrak p}$-adic Quadratic Forms
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D.R. Heath-Brown
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It 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 $(2r)^r$.
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