Title of article
Powers of totally positive subgroups of fields
Author/Authors
Ido Efrat، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
9
From page
3104
To page
3112
Abstract
For a formally real field F, a totally positive co-torsion subgroup S of F× and m 1, we prove that (∑S)m ∑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.
Keywords
Powers , Real holomorphy ring , Pythagoras numbers , Waring problem , Valuations
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698811
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