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arXiv · 1809.02708

Value sets of sparse polynomials

Igor E. Shparlinski·Jose Felipe Voloch
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Abstract

We obtain a new lower bound on the size of value set f(F_p) of a sparse polynomial f in F_p[X] over a finite field of p elements when p is prime. This bound is uniform with respect of the degree and depends on some natural arithmetic properties of the degrees of the monomial terms of f and the number of these terms. Our result is stronger than those which canted be extracted from the bounds on multiplicities of individual values in f(F_p).

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Igor E. Shparlinski, Jose Felipe Voloch. 2018-09-07. Value sets of sparse polynomials. https://doi.org/10.4153/s0008439519000316

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