Generalisations of Roth's theorem on finite abelian groups
Roth's theorem, proved by Roth in 1953, states that when A is a subset of the integers [1,N] with A dense enough, A has a three term arithmetic progression (3-AP). Since then the bound originally given by Roth has been improved upon by number theorists several times. The theorem can also be gen...
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| Language: | en |
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2012
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| Online Access: | http://hdl.handle.net/10012/7162 |