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Kleine Nullstellen homogener quadratischer Gleichungen
Authors:Hans Peter Schlickewei
Institution:(1) Abteilung Mathematik II der Universität Ulm, Oberer Eselsberg, D-7900 Ulm, Bundesrepublik Deutschland
Abstract:Let phivnequiv0 be a real quadratic form inn variables, which takes on integral values on Zopf n . Denote by PHgr the largest coefficient of phiv in absolute value. Suppose phiv vanishes on ad-dimensional rational subspace. It is shown that phiv has a zero (x 1,...,x n isinZopf n \{(0,...,0)} with max |x i LtPHgr (n-d/2d).
Keywords:
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