Sums of units in function fields
Number Theory
2013-11-20 v1
Abstract
Let R be the ring of S-integers of an algebraic function field (in one variable) over a perfect field, where S is finite and not empty. It is shown that for every positive integer N there exist elements of R that can not be written as a sum of at most N units.
Keywords
Cite
@article{arxiv.1311.4676,
title = {Sums of units in function fields},
author = {Christopher Frei},
journal= {arXiv preprint arXiv:1311.4676},
year = {2013}
}
Comments
18 pages