| Autor: |
Kra, Bryna, Moreira, Joel, Richter, Florian K., Robertson, Donald |
| Předmět: |
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| Zdroj: |
Journal of the American Mathematical Society; Jul2024, Vol. 37 Issue 3, p637-682, 46p |
| Abstrakt: |
Motivated by questions asked by Erdős, we prove that any set A\subset \mathbb {N} with positive upper density contains, for any k\in \mathbb {N}, a sumset B_1+\cdots +B_k, where B_1, ..., B_k\subset \mathbb {N} are infinite. Our proof uses ergodic theory and relies on structural results for measure preserving systems. Our techniques are new, even for the previously known case of k=2. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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