@inproceedings{CherryUniqueRS,
title={Unique range sets in positive characteristic},
author={William Cherry}
}

William Cherry

1. Introduction. In the course of studying the factorization of mero-morphic functions (on the complex plane), Gross [13] introduced the concept of a unique range set, which we now define. Let f be a function for which it makes sense to talk about the " multiplicity " with which it takes on a value. For example, f could be a non-constant polynomial or an entire function. Let S be a set in the range of f. Then, define E(f, S) = a∈S {(z, m) : f (z) = a with multiplicity m}. Here z runs over the… CONTINUE READING