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The value set of polynomials over ℤm and the combinatorics of sequences
Published online by Cambridge University Press: 26 February 2010
Abstract
For a class of functions containing polynomials over ℤm, we give an inequality relating the cardinality of the value set to the additive order of differences of elements in that set. To do this, we find some inequalities concerning the combinatorics of substrings of sequences on finite sets which are related to an interesting matrix inequality.
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- Research Article
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- Copyright © University College London 1995