Solutions to polynomial congruences in well-shaped sets

Authors

  • B. Kerr Macquarie University

Keywords:

polynomial congrences, distribution of points

Abstract

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 to polynomial congruences, for arbitrary polynomials, when the solutions lie in a very general class of sets, including all convex sets. 10.1017/S0004972713000324

Author Biography

B. Kerr, Macquarie University

Department of Computing PhD Student

Published

2013-10-15

Issue

Vol. 88 No. 3 (2013)

Section

Articles
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