Arithmetic structures in random sets
We prove various results in additive combinatorics for subsets of random sets. In particular we extend Sarkozy's theorem and a theorem of Green on long arithmetic progressions in sumsets to dense subsets of random sets with asymptotic density 0. Our proofs require a transference argument due to...
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Format: | Others |
Language: | English |
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University of British Columbia
2008
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Online Access: | http://hdl.handle.net/2429/2838 |