On the solution of Waring problem with a multiplicative error term: Dimension-free estimates

DOI10.1090/proc/16427arXiv2203.09273OpenAlexW4321492523MaRDI QIDQ6043765

Jarosław Mirek, Błażej Wróbel, Wojciech Słomian

Publication date: 24 May 2023

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

Full work available at URL: https://arxiv.org/abs/2203.09273

zbMATH Keywords

Waring's problemHardy-Littlewood circle methoddimension-free estimates

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55)

Cites Work

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• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• Large improvements in Waring's problem
• The asymptotic formula in Waring's problem: higher order expansions
• Diophantine equations and ergodic theorems
• On the Hardy–Littlewood Maximal Functions in High Dimensions: Continuous and Discrete Perspective
• Translation invariance, exponential sums, and Waring's problem
• Some remarks on dimension-free estimates for the discrete Hardy-Littlewood maximal functions

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