Almost universality of a sum of norms

Jeongho Park

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Almost universality of a sum of norms

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arxiv 1302.2457 v4 pith:7IRX4XEZ submitted 2013-02-11 math.NT

Almost universality of a sum of norms

Jeongho Park This is my paper

classification math.NT

keywords numberabelianalmostauthorcentralcircleclasscoefficients

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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.

Almost universality of a sum of norms

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