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Heights And Diophantine Problems, Lenny Fukshansky
Heights And Diophantine Problems, Lenny Fukshansky
CMC Faculty Publications and Research
Lecture given at Rice University, September 2004.
Small Zeros Of Quadratic Forms With Linear Conditions, Lenny Fukshansky
Small Zeros Of Quadratic Forms With Linear Conditions, Lenny Fukshansky
CMC Faculty Publications and Research
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.