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Indefinite quadratic forms in many variables
Published online by Cambridge University Press: 26 February 2010
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It has long been conjectured that any indefinite quadratic form, with real coefficients, in 5 or more variables assumes values arbitrarily near to 0 for suitable integral values of the variables, not all 0. The basis for this conjecture is the fact, proved by Meyer in 1883, that any such form with rational coefficients actually represents 0.
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- Copyright © University College London 1956
References
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page 83 note * Proc. Cambridge Phil. Soc., 51 (1955), 262–264CrossRefGoogle Scholar and 62 (1956), 604.
page 85 note * We use Vinogradov's symbolism F « G to mean that | F | < cG for a suitable constant c.
page 87 note * Here ‖ θ ‖ denotes the difference between a real number θ and the nearest integer, taken positively.
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