Abstract:Erdös has conjectured that given a decreasing sequence of real numbers convergent to 0 there always exists a measurable set of positive measure that contains no similar copy of the sequence. We prove this conjecture if the sequence does not converge too rapidly.
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- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 90 (1984), 77-78
- MSC: Primary 28A75; Secondary 11K55
- DOI: https://doi.org/10.1090/S0002-9939-1984-0722418-0
- MathSciNet review: 722418