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This work examines the foundational significance of key papers on arithmetic progressions and their influence on further mathematical research.

March 18, 2026Open Access

Arithmetic progressions at the Journal of the LMS

Key Points

This work examines the foundational significance of key papers on arithmetic progressions and their influence on further mathematical research.
Review of historical mathematical papers by Erdős, Turán, and Roth.
Analysis of their contributions to the study of integer sequences.
Discussion of the impact of these foundational works on modern mathematics.
Erdős and Turán's work laid groundwork for further study in arithmetic progressions.
Roth's paper extended understanding of sets of integers and their properties.
Both papers remain influential in ongoing mathematical research discussions.

Abstract

Abstract 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.

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Authors

Ben Green

Journals

Journal of the London Mathematical Society

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University of Oxford

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Building similarity graph...

Analyzing shared references across papers

Arithmetic progressions at the Journal of the LMS

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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