Multifold sums and products over R, and combinatorial problems on sumsets
We prove a new bound on a version of the sum-product problem studied by Chang. By introducing several combinatorial tools, this expands upon a method of Croot and Hart which used the Tarry-Escott problem to build distinct sums from polynomials with specific vanishing properties. We also study othe...
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| Format: | Others |
| Language: | en_US |
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Georgia Institute of Technology
2015
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| Online Access: | http://hdl.handle.net/1853/53950 |