High Quality Content by WIKIPEDIA articles! In mathematics, Birch's theorem, named for Bryan John Birch, is a statement about the representability of zero by odd degree forms. Bryan John Birch F.R.S. (born 25 September 1931) is a British mathematician. His name has been given to the Birch and Swinnerton-Dyer conjecture. As a doctoral student at the University of Cambridge, he was officially working under J. W. S. Cassels. More influenced by Harold Davenport, he proved Birch's theorem, one of the definitive results to come out of the Hardy-Littlewood circle method; it shows that odd-degree rational forms in a large enough set of variables must have zeroes.

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