If (A+A)/(A+A) is small, then the ratio set is large

DOI10.1112/jlms/jdv062zbMath1338.52020arXiv1507.07672OpenAlexW3099601914MaRDI QIDQ2793760

Oliver Roche-Newton

Publication date: 17 March 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07672

zbMATH Keywords

sum-product problemincidence problem

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (1)

An improved bound on \((A+A)/(A+A)\)

Cites Work

• Unnamed Item
• A bound on the multiplicative energy of a sum set and extremal sum-product problems
• Bounding multiplicative energy by the sumset
• The linear arboricity of graphs
• New sum-product estimates for real and complex numbers
• A sum-division estimate of reals
• On a problem of Konyagin
• On the Number of Incidences Between Points and Curves

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