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Published September 2015 | Submitted + Published
Journal Article Open

New counterexamples for sums-differences

Lemm, Marius

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.

Additional Information

© 2015 Marius Lemm. Received by the editors April 19, 2014. Article electronically published on March 4, 2015. The author wishes to thank Nets Katz for encouragement and advice.

Attached Files

Published - S0002-9939-2015-12603-2.pdf

Submitted - 1404.3745v2.pdf

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