Covering the large spectrum and generalized Riesz products
| Autor: | Lee, James R. |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | Chang's Lemma is a widely employed result in additive combinatorics. It gives bounds on the dimension of the large spectrum of probability distributions on finite abelian groups. Recently, Bloom (2016) presented a powerful variant of Chang's Lemma that yields the strongest known quantitative version of Roth's theorem on 3-term arithmetic progressions in dense subsets of the integers. In this note, we show how such theorems can be derived from the approximation of probability measures via entropy maximization. |
| Databáze: | arXiv |
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