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math.NT2012
On the Distribution of Values and Zeros of Polynomial Systems over Arbitrary Sets
Bryce Kerr, Igor E. Shparlinski
Let $G_1,..., G_n \in \Fp[X_1,...,X_m]$ be polynomials in variables over the finite field $\Fp$ of elements. A result of {É}. Fouvry and N. M. Katz shows that under som…
math.NT2012
Solutions to polynomial congruences in well shaped sets
Bryce Kerr
We use a generalization of Vinogradov's mean value theorem of S. Parsell, S. Prendiville and T. Wooley and ideas of W. Schmidt to give nontrivial bounds for the number of solutions…