Solution-free sets for sums of binary forms

DOI10.1112/plms/pds083zbMath1294.11178arXiv1110.1999OpenAlexW2160357522MaRDI QIDQ2843972

Sean Prendiville

Publication date: 27 August 2013

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

Full work available at URL: https://arxiv.org/abs/1110.1999

zbMATH Keywords

binary formRoth's theoremarithmetic progressioninteger latticeVinogradov's mean value theorem

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of the Hardy-Littlewood method (11P55) Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Weyl sums (11L15) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (2)

Near-optimal mean value estimates for multidimensional Weyl sums ⋮ Decoupling for moment manifolds associated to Arkhipov-Chubarikov-Karatsuba systems

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