Generalized more sums than differences sets
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Publication:412123
DOI10.1016/j.jnt.2011.10.006zbMath1268.11014arXiv1108.4500OpenAlexW2092498095MaRDI QIDQ412123
Geoffrey Iyer, Oleg Lazarev, Steven J. Miller, Liyang Zhang
Publication date: 4 May 2012
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.4500
Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70)
Related Items (13)
Sets of Cardinality 6 Are Not Sum-dominant ⋮ Distribution of Missing Differences in Diffsets ⋮ Distribution of Missing Sums in Sumsets ⋮ Infinite Families of Partitions into MSTD Subsets ⋮ 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 ⋮ Sums and differences of correlated random sets ⋮ When Sets Can and Cannot Have MSTD Subsets ⋮ Generalizations of a Curious Family of MSTD Sets Hidden By Interior Blocks ⋮ Union of Two Arithmetic Progressions with the Same Common Difference Is Not Sum-dominant ⋮ A tight structure theorem for sumsets
Cites Work
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- Sets characterized by missing sums and differences
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- On the number of sums and differences
- Additive completion and disjoint translations
- When almost all sets are difference dominated
- On A Conjecture of Conway
- Explicit Constructions of Large Families of Generalized More Sums Than Differences Sets
- Finding and Counting MSTD Sets
- Some explicit constructions of sets with more sums than differences
- Sums of Finite Sets of Integers
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