Abstract
We generalize a theorem of Birch on solving systems of homogeneous equations of odd degree to the case of solving systems of homogeneous equations of degree not divisible by a fixed integer s ≥ 2. Birch's theorem is the case s = 2. In addition, we give a new exposition of the proof of Brauer's theorem on solving systems of homogeneous equations.
Original language | English |
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Pages (from-to) | 2640-2648 |
Number of pages | 9 |
Journal | Communications in Algebra |
Volume | 37 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2009 |
Keywords
- Birch's theorem
- Systems of homogeneous equations
ASJC Scopus subject areas
- Algebra and Number Theory