Small Zeros of Quadratic Forms with Linear Conditions

Authors

Lenny Fukshansky, Claremont McKenna CollegeFollow

Document Type

Article

Department

Mathematics (CMC)

Publication Date

2004

Abstract

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.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,297.

Source: Author's post-print manuscript in pdf

Rights Information

© 2004 Elsevier

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Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Fukshansky, Lenny. "Small zeros of quadratic forms with linear conditions." Journal of Number Theory 108.1 (2004): 29-43