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On cardinality of sumsets

Published:2005-04 Issue:2 Volume:78 Page:221-226
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Garaev M. Z.,Kueh Ka-Lam

Abstract

AbstractIn this article we study some special problems of the additive number theory connected with an estimate of cardinality of a sum of two sets, which can be convex as well as non-convex sequences.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Un problème binaire en théorie additive

2. Convexity and Sumsets

3. $L_1$-Norms of Exponential Sums and the Corresponding Additive Problem

4. Three additive problems;Gritsenko;Russian Acad. Sci. Izv. Math.,1993

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3. On Convolutions of Convex Sets and Related Problems;Canadian Mathematical Bulletin;2014-12-01

4. On Sumsets of Convex Sets;Combinatorics, Probability and Computing;2011-07-07

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