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On systems of diagonal forms II
Published online by Cambridge University Press: 01 July 2009
Abstract
Given a system of diagonal forms over ℚp, we ask how many variables are required to guarantee that the system has a nontrivial zero. We show that if the prime p satisfies p > (largest degree) − (smallest degree) + 1, then there is a bound on the sufficient number of variables which is a polynomial in the degrees of the forms.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 147 , Issue 1 , July 2009 , pp. 31 - 45
- Copyright
- Copyright © Cambridge Philosophical Society 2009
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