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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

   
 

 

New counterexamples for sums-differences


Author: 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
Published electronically: March 4, 2015
MathSciNet review: 3359577
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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.


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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

DOI: https://doi.org/10.1090/S0002-9939-2015-12603-2
Received by editor(s): April 19, 2014
Published electronically: March 4, 2015
Communicated by: Alexander Iosevich
Article copyright: © Copyright 2015 Marius Lemm