Additive and multiplicative Sidon sets

DOI10.1007/s10474-021-01160-8zbMath1499.11039arXiv2103.13066OpenAlexW3171617185MaRDI QIDQ5918448

Oliver Roche-Newton, Audie Warren

Publication date: 6 January 2022

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.13066

zbMATH Keywords

arithmetic combinatoricsconstructionadditive Sidon setsmultiplicative Sidon sets

Mathematics Subject Classification ID

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

Related Items (2)

On the multiplicative Chung-Diaconis-Graham process ⋮ Unnamed Item

Cites Work

• Bounding multiplicative energy by the sumset
• An application of graph theory to additive number theory
• On the energy variant of the sum-product conjecture
• A complete annotated bibliography of work related to Sidon sequences
• A low-energy decomposition theorem
• Linear problems in combinatorial number theory
• A note on distinct distances
• On higher energy decompositions and the sum–product phenomenon
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