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On systems of diagonal forms II

Published online by Cambridge University Press:  01 July 2009

MICHAEL P. KNAPP
MICHAEL P. KNAPP*
Affiliation:
Mathematical Sciences Department, Loyola College, 4501 North Charles Street, Baltimore, MD 21210-2699, U.S.A. e-mail: mpknapp@loyola.edu
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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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References

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