Jeongho Park
Published 2013-02-11, updated 2015-11-26Version 4
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.
On Waring's problem for intermediate powers
On Iwasawa $λ$-invariants for abelian number fields and random matrix heuristics
Abelian number fields with frobenian conditions
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