Given a quadratic form and M linear forms in N + 1 variables with coefficients in a number field K, suppose that there exists a point in KN+1 at which the quadratic form vanishes and all the linear forms do not. Then we show that there exists a point like this of relatively small height. This generalizes a result of D.W. Masser.
© 2004 Elsevier
Fukshansky, Lenny. "Small zeros of quadratic forms with linear conditions." Journal of Number Theory 108.1 (2004): 29-43