Some explicit constructions of sets with more sums than differences

DOI10.4064/aa130-1-4zbMath1147.11014arXivmath/0611582OpenAlexW3099023401MaRDI QIDQ5423577

Peter V. Hegarty

Publication date: 23 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0611582

zbMATH Keywords

difference setssumsetsMSTD sets

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99)

Related Items (20)

Sets of Cardinality 6 Are Not Sum-dominant ⋮ Distribution of Missing Differences in Diffsets ⋮ Sum-dominant sets and restricted-sum-dominant sets in finite abelian groups ⋮ Infinite Families of Partitions into MSTD Subsets ⋮ MSTD sets and Freiman isomorphisms ⋮ Constructions of generalized MSTD sets in higher dimensions ⋮ Generalizing the distribution of missing sums in sumsets ⋮ On sets with more products than quotients ⋮ Fringe pairs in generalized MSTD sets ⋮ Generalized more sums than differences sets ⋮ Sets characterized by missing sums and differences ⋮ Sums and differences of correlated random sets ⋮ When Sets Can and Cannot Have MSTD Subsets ⋮ Constructing MSTD sets using bidirectional ballot sequences ⋮ Explicit constructions of infinite families of MSTD sets ⋮ Counting MSTD sets in finite abelian groups ⋮ When almost all sets are difference dominated ⋮ Sets characterized by missing sums and differences in dilating polytopes ⋮ Union of Two Arithmetic Progressions with the Same Common Difference Is Not Sum-dominant ⋮ A geometric perspective on the MSTD question

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