A bound on the multiplicative energy of a sum set and extremal sum-product problems
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Publication:268067
zbMath1388.11007arXiv1410.1156MaRDI QIDQ268067
Oliver Roche-Newton, Dmitrii Zhelezov
Publication date: 13 April 2016
Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.1156
Other combinatorial number theory (11B75) Arithmetic combinatorics; higher degree uniformity (11B30)
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Expanders with superquadratic growth ⋮ Variations on the Sum-Product Problem II ⋮ NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS ⋮ Discrete spheres and arithmetic progressions in product sets ⋮ If (A+A)/(A+A) is small, then the ratio set is large ⋮ An improved bound on \((A+A)/(A+A)\) ⋮ On sets with small additive doubling in product sets ⋮ Difference sets are not multiplicatively closed
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