Bryce Kerr

most citedIncomplete exponential sums over exponential functions

2 citations · 2 across the 3 of their papers we have counts for

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math.NT2013★ 2 cited

Incomplete exponential sums over exponential functions

Bryce Kerr

We extend some methods of bounding exponential sums of the type $n \leq N \sum e^{2 π ia g^{n} / p}$ to deal with the case when $g$ is not necessarily a primitive root. We als…

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 $n$ polynomials in $m$ variables over the finite field $\Fp$ of $p$ 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…