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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Bibliographic Details
Main Author: Hamel, Mariah
Format: Others
Language:English
Published: University of British Columbia 2008
Subjects:
Online Access:http://hdl.handle.net/2429/2838