Sums of units in function fields
Abstract
Let R be the ring of Sintegers 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.
 Publication:

arXiv eprints
 Pub Date:
 November 2013
 arXiv:
 arXiv:1311.4676
 Bibcode:
 2013arXiv1311.4676F
 Keywords:

 Mathematics  Number Theory;
 12E30;
 11R27;
 11R58;
 11R04
 EPrint:
 18 pages