Fringe pairs in generalized MSTD sets

DOI10.1142/S1793042117501470zbMath1394.11018arXiv1509.01657OpenAlexW2963250760MaRDI QIDQ4595089

Megumi Asada, Steven J. Miller, Hong Suh, Sarah Manski

Publication date: 28 November 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01657

zbMATH Keywords

sum-dominant sets\(k\)-generational setsarbitrary differencesfringe pairsgeneralized MSTD sets

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (5)

Sets of Cardinality 6 Are Not Sum-dominant ⋮ Distribution of Missing Differences in Diffsets ⋮ Infinite Families of Partitions into MSTD Subsets ⋮ Generalizing the distribution of missing sums in sumsets ⋮ Union of Two Arithmetic Progressions with the Same Common Difference Is Not Sum-dominant

Cites Work

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• Generalized more sums than differences sets
• Sets characterized by missing sums and differences
• Counting MSTD sets in finite abelian groups
• Constructing MSTD sets using bidirectional ballot sequences
• Explicit constructions of infinite families of MSTD sets
• On the number of sums and differences
• Explicit Constructions of Infinite Families of MSTD Sets
• When almost all sets are difference dominated
• Most Subsets Are Balanced in Finite Groups
• Some explicit constructions of sets with more sums than differences
• Sums of Finite Sets of Integers

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