Cook, R. J ; Raghavan, S
(1984)
*Indefinite quadratic polynomials of small signature*
Monatshefte fur Mathematik, 97
(3).
pp. 169-176.
ISSN 0026-9255

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Official URL: http://www.springerlink.com/content/l08427hk280567...

Related URL: http://dx.doi.org/10.1007/BF01299144

## Abstract

Let F(X)=Q(X)+L(X) be a real quadratic polynomial with no constant term. Suppose that the quadratic part Q(X) is indefinite of type (r, n-r). For an integer k≥4 we show that if min (r, n-r) ≥k there exists a function f(n, k)=–1/2+3/(4k+2)+O_{k} (1/n) with the following property. For any η>0 and all large enough X there is an integer vector χ≠0 such that |χ| ≤X and |F(X)|«X^{ƒ(n,k)+n}.

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Deposited On: | 25 Apr 2011 10:41 |

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