On sumsets of subsets of squares

DOI10.1134/S0081543821040155zbMath1482.11018OpenAlexW3206561388MaRDI QIDQ2234375

Tomasz Schoen

Publication date: 19 October 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821040155

zbMATH Keywords

squaresadditive theorems

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

• Unnamed Item
• Near optimal bounds in Freiman's theorem
• On \(\Lambda\) (p)-subsets of squares
• Roth's theorem in the primes
• Generalized arithmetical progressions and sumsets
• On the Bogolyubov-Ruzsa lemma
• Rado's criterion over squares and higher powers
• Decompositions, approximate structure, transference, and the Hahn-Banach theorem
• A Transference Approach to a Roth-Type Theorem in the Squares
• Arithmetic Progressions in Sumsets and L^p-Almost-Periodicity
• Four variants of the Fourier-analytic transference principle

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