Small linearly independent zeros of quadratic forms |
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| Authors: | Rainer Schulze-Pillot |
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| Institution: | 1. Mathematisches Institut der, Georg-August-Universit?t, Bunsenstrasse 3/5, D-3400, G?ttingen, Federal Republic of Germany
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| Abstract: | LetQ be a non-degenerate quadratic form on ? n and \(L \subseteq \mathbb{R}^n\) a lattice with \(Q(L) \subseteq \mathbb{Z}\) which contains a non-trivial zero ofQ. We give upper bounds for the minimal value of the determinant and of the product of the norms ofn linearly independent zeros ofQ inL. |
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