Almost universality of a sum of norms
Number Theory
2015-11-30 v4
Abstract
In this paper the author considers a particular type of polynomials with integer coefficients, consisting of a perfect power and two norm forms of abelian number fields with coprime discriminants. It is shown that such a polynomial represents every natural number with only finitely many exceptions. The circle method is used, and the local class field theory plays a central role in estimating the singular series.
Keywords
Cite
@article{arxiv.1302.2457,
title = {Almost universality of a sum of norms},
author = {Jeongho Park},
journal= {arXiv preprint arXiv:1302.2457},
year = {2015}
}