On classification of sequences containing arbitrarily long arithmetic progressions

DOI10.1142/s1793042123500926MaRDI QIDQ6133827

Sadık Eyidoğan, Şermin Çam Çelik, Doğa Can Sertbaş, Haydar Göral

Publication date: 21 August 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

arithmetic progressionsvan der Waerden's theoremGreen-Tao theorem

Mathematics Subject Classification ID

Arithmetic progressions (11B25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On arithmetic progressions in recurrences -- a new characterization of the Fibonacci sequence
• Roth's theorem in the Piatetski-Shapiro primes
• Diophantine approximations and diophantine equations
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• An improved construction of progression-free sets
• The primes contain arbitrarily long arithmetic progressions
• Prime numbers of the form [nc]
• The Difference Between Consecutive Primes, II
• Arithmetic Progressions in the Graphs of Slightly Curved Sequences
• On sets of integers containing k elements in arithmetic progression
• On Certain Sets of Integers
• On Sets of Integers Which Contain No Three Terms in Arithmetical Progression
• A new proof of Szemerédi's theorem

This page was built for publication: On classification of sequences containing arbitrarily long arithmetic progressions