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math.NT2015
Refining Multivariate Value Set Bounds
Luke Smith
Over finite fields, if the image of a polynomial map is not the entire field, then its cardinality can be bounded above by a significantly smaller value. Earlier results bound the…
math.NT2013★ 6 cited
Polytope Bounds on Multivariate Value Sets
Luke Smith
We improve upon the upper bounds for the cardinality of the value set of a multivariable polynomial map over a finite field using the polytope of the polynomial. This generalizes e…