Abstract
Let ϕ≢0 be a real quadratic form inn variables, which takes on integral values on ℤn. Denote by Φ the largest coefficient of ϕ in absolute value. Suppose ϕ vanishes on ad-dimensional rational subspace. It is shown that ϕ has a zero (x 1,...,x n ∈ℤn\{(0,...,0)} with max |x i ≪Φ (n-d/2d).
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Schlickewei, H.P. Kleine Nullstellen homogener quadratischer Gleichungen. Monatshefte für Mathematik 100, 35–45 (1985). https://doi.org/10.1007/BF01383715
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DOI: https://doi.org/10.1007/BF01383715