Rational integers as sums of units -- the quadratic case
arXiv:2601.09517
Abstract
How many natural numbers below can be written as a sum of units of the ring of integers of a given number field? We give the asymptotics as gets large for quadratic number fields. This solves a problem of Jarden and Narkiewicz from 2007 for quadratic number fields.
14 pages; comments welcome!