Affiliation:
1. Department of Mathematics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
Abstract
If f is a non-constant polynomial with integer coefficients and q is an integer, we may regard f as a map from Z/qZ to Z/qZ. We show that the distribution of the (normalized) spacings between consecutive elements in the image of these maps becomes Poissonian as q tends to infinity along any sequence of square free integers such that the mean spacing modulo q tends to infinity.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
7 articles.
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