On infinite arithmetic progressions in sumsets

DOI10.1007/s11425-023-2177-2OpenAlexW4381890177MaRDI QIDQ6146118

Quan-Hui Yang, Li Lu Zhao, Yong-Gao Chen

Publication date: 10 January 2024

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-023-2177-2

zbMATH Keywords

primescircle methodsumsetsinfinite arithmetic progressions

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Additive bases, including sumsets (11B13) Distribution of primes (11N05) Arithmetic progressions (11B25)

Cites Work

• Unnamed Item
• Roth's theorem in the primes
• Sumsets containing infinite arithmetic progressions
• The primes contain arbitrarily long arithmetic progressions
• Primes with restricted digits
• A density version of the Vinogradov three primes theorem
• On a problem of Erdös, Nathanson and Sárközy
• A density version of Vinogradov's three primes theorem
• On sets of integers containing k elements in arithmetic progression
• On Certain Sets of Integers

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