Article ID Journal Published Year Pages File Type
4587973 Journal of Algebra 2008 9 Pages PDF
Abstract

For a formally real field F, a totally positive co-torsion subgroup S of F× and m⩾1, we prove that m(∑S)⊆∑Sm. This extends a result of Becker. We prove several refinements of this fact related to higher Pythagoras numbers, real holomorphy rings, and sums with mixed powers.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory