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Small linearly independent zeros of quadratic forms

โœ Scribed by Rainer Schulze-Pillot


Publisher
Springer Vienna
Year
1983
Tongue
English
Weight
360 KB
Volume
95
Category
Article
ISSN
0026-9255

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Small zeros of quadratic forms with line
โœ Lenny Fukshansky ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

Given a quadratic form and M linear forms in N รพ 1 variables with coefficients in a number field K; suppose that there exists a point in K Nรพ1 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 gener