Structure and arithmetic in sets
We prove results in arithmetic combinatorics involving sums of prime numbers and also some variants of the Erdös-Szemerédi sum-product phenomenon. In particular, we prove nontrivial lower bounds on the density in the integers of the sumset of a positive relative density subset of the primes. The p...
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
University of British Columbia
2011
|
| Online Access: | http://hdl.handle.net/2429/33674 |