A Polylogarithmic Bound in the Nonlinear Roth Theorem

DOI10.1093/IMRN/RNAA261OpenAlexW3010324700MaRDI QIDQ5075173

Sean Prendiville, Sarah Peluse

Publication date: 10 May 2022

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

Full work available at URL: https://arxiv.org/abs/2003.04122

zbMATH Keywords

polylogarithmic boundnonlinear Roth theorempolylogarithmic density

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Density, gaps, topology (11B05) Arithmetic progressions (11B25)

Related Items (5)

Pointwise ergodic theorems for non-conventional bilinear polynomial averages ⋮ Seminorm control for ergodic averages with commuting transformations along pairwise dependent polynomials ⋮ A POLYNOMIAL ROTH THEOREM FOR CORNERS IN FINITE FIELDS ⋮ Two bipolynomial Roth theorems in \(\mathbb{R}\) ⋮ Joint ergodicity of fractional powers of primes

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