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arXiv · 1302.2457

Almost universality of a sum of norms

Jeongho Park
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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.

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Jeongho Park. 2013-02-11. Almost universality of a sum of norms. https://arxiv.org/abs/1302.2457

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