New counterexamples for sums-differences
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- by Marius Lemm PDF
- Proc. Amer. Math. Soc. 143 (2015), 3863-3868
Abstract:
We present new counterexamples, which provide stronger limitations to sums-differences statements than were previously known. The main idea to improve over the original counterexamples by Ruzsa is to consider non-uniform probability measures.References
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Additional Information
- Marius Lemm
- Affiliation: Department of Mathematics MC 253-37, California Institute of Technology, Pasadena, California 91125
- Email: mlemm@caltech.edu
- Received by editor(s): April 19, 2014
- Published electronically: March 4, 2015
- Communicated by: Alexander Iosevich
- © Copyright 2015 Marius Lemm
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3863-3868
- MSC (2010): Primary 42B99; Secondary 11B75
- DOI: https://doi.org/10.1090/S0002-9939-2015-12603-2
- MathSciNet review: 3359577