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Small Positive Values of Indefinite Quadratic Forms
Published online by Cambridge University Press: 20 November 2018
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Let ∧ denote the lattice of points X = (x1, …, xn) with integral coordinates. A basis of ∧ is a set of n points X1, …, Xn of ∧ such that every point of ∧ is expressible in the form where ui are integers. It is easy to see that points X1, …, Xn of ∧ form a basis if, and only if
(1)
where Xr = (x1(r), …, x1(r)).
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- Copyright © Canadian Mathematical Society 1963
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