Representation of powers by polynomials over function fields and a problem of Logic
Number Theory
2011-07-21 v1
Abstract
We solve a generalization of B\"uchi's problem in any exponent for function fields, and briefly discuss some consequences on undecidability. This provides the first example where this problem is solved for rings of functions in the case of an exponent larger than 3.
Cite
@article{arxiv.1107.4019,
title = {Representation of powers by polynomials over function fields and a problem of Logic},
author = {Hector Pasten},
journal= {arXiv preprint arXiv:1107.4019},
year = {2011}
}