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Fattening up Warning's Second Theorem
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Fattening up Warning's Second Theorem
classification
math.CO
math.ACmath.NT
keywords
polynomialresultsecondtheoremtheorywarningadditiveapplications
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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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