Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587973 | Journal of Algebra | 2008 | 9 Pages |
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