This discussion highlights the influence of pivotal papers on integer sequences and arithmetic progressions, suggesting broader implications for mathematics.
We discuss the papers P. Erdős and P. Turán, On some sequences of integers , J. London Math. Soc. (1) 11 (1936), 261–264 and K. F. Roth, On certain sets of integers , J. London Math. Soc. (1) 28 (1953), 104–109, both foundational papers in the study of arithmetic progressions in sets of integers, and their subsequent influence.
No takes yet. Share an insight, caveat, or question.
Ben Green (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: