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This article is available for purchase or by subscription. See below.
Abstract
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Let
be a
-set with measure
in the sense of
Katz and Tao. For
we show that
for
.
This improves the bound of Guth, Katz, and Zahl for large
.
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Keywords
$(\delta,\sigma)$-sets, sum set estimates, Fourier
transform
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Mathematical Subject Classification 2010
Primary: 05B99
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Milestones
Received: 17 June 2019
Revised: 3 October 2019
Accepted: 28 October 2019
Published: 8 January 2020
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