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Logarithmic Bounds for Translation-Invariant Equations in Squares

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Publication:3460343
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DOI10.1093/imrn/rnv062zbMath1398.11031arXiv1409.4501OpenAlexW2963384375MaRDI QIDQ3460343

Kevin Henriot

Publication date: 7 January 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4501


zbMATH Keywords

densityarithmetic progressionRoth theoremSzemerédi theoremBourgain estimate for exponential sumenergy-increment strategyinvariant under translation and dilatationlarge Fourier energysimultaneous linearization of quadratics


Mathematics Subject Classification ID

Waring's problem and variants (11P05) Arithmetic progressions (11B25)


Related Items (4)

Restriction estimates of \(\varepsilon\)-removal type for \(k\)-th powers and paraboloids ⋮ A Diophantine Ramsey theorem ⋮ Higher order Fourier analysis of multiplicative functions and applications ⋮ Almost prime solutions to diophantine systems of high rank







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