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Fattening up Warning's Second Theorem

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arxiv 1506.06743 v1 pith:CQER6FQT submitted 2015-06-20 math.CO math.ACmath.NT

Fattening up Warning's Second Theorem

classification math.CO math.ACmath.NT
keywords polynomialresultsecondtheoremtheorywarningadditiveapplications
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a generalization of Warning's Second Theorem to polynomial systems over a finite local principal ring with suitably restricted input and output variables. This generalizes a recent result with Forrow and Schmitt (and gives a new proof of that result). Applications to additive group theory, graph theory and polynomial interpolation are pursued in detail.

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