The cardinality of sumsets: different summands

DOI10.4064/aa167-4-4zbMath1345.11009arXiv1309.2191OpenAlexW2964312191MaRDI QIDQ5177562

Giorgis Petridis, Brendan Murphy, Eyvindur Ari Palsson

Publication date: 12 March 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2191

zbMATH Keywords

sumsetsPlünnecke graphssquare commutative graphs

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Additive number theory; partitions (11P99) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

• Projections, entropy and sumsets
• A superadditivity and submultiplicativity property for cardinalities of sumsets
• Entropy and set cardinality inequalities for partition-determined functions
• Plünnecke’s Inequality for Different Summands
• Projections of Bodies and Hereditary Properties of Hypergraphs
• Upper bounds on the cardinality of higher sumsets
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