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A relative Roth theorem in dense subsets of sparse pseudorandom fractals - MaRDI portal

A relative Roth theorem in dense subsets of sparse pseudorandom fractals

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Publication:2804233

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zbMATH Open1336.28005MaRDI QIDQ2804233

Marc Carnovale

Publication date: 28 April 2016

Published in: Online Journal of Analytic Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.math.rochester.edu/ojac/vol11/119.pdf

zbMATH Keywords

Roth's theorem Hausdorff dimension arithmetic progression Fourier dimension Salem set

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Length, area, volume, other geometric measure theory (28A75) Multipliers in one variable harmonic analysis (42A45) Arithmetic progressions (11B25) Hausdorff and packing measures (28A78) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

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