Union of Two Arithmetic Progressions with the Same Common Difference Is Not Sum-dominant

zbMath1460.11030arXiv1906.03793MaRDI QIDQ5148775

Hùng Viẹt Chu

Publication date: 5 February 2021

Full work available at URL: https://arxiv.org/abs/1906.03793

zbMATH Keywords

sum-dominant setsmore-sum-than-difference (MSTD) setsunion of two arithmetic progressions

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Arithmetic progressions (11B25)

Cites Work

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• Generalized more sums than differences sets
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• Fringe pairs in generalized MSTD sets
• Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets
• Generalizations of a Curious Family of MSTD Sets Hidden By Interior Blocks
• Sets of Cardinality 6 Are Not Sum-dominant
• Infinite Families of Partitions into MSTD Subsets
• Finding and Counting MSTD Sets
• When Sets Are Not Sum-dominant
• Some explicit constructions of sets with more sums than differences
• On Conway's Conjecture for Integer Sets
• On Conway's conjecture for integer sets

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