A Generalization of a Theorem of Birch |
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| Authors: | David B Leep |
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| Institution: | Department of Mathematics , University of Kentucky , Lexington , Kentucky |
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| 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. |
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| Keywords: | Birch's theorem Systems of homogeneous equations |
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