References
Waerden, B. L. v. d.: Beweis einer Baudetschen Vermutung. Nieuw. Arch. Wisk. (2)15, 212–216 (1928).
Roth, K. F.: On certains sets of integers. J. London Math. Soc.28, 104–109 (1953).
—— On certain sets of integers (II). J. London Math. Soc.29, 20–26 (1954).
—— Remark concerning integer sequences. Acta Arithm.9, 257–260 (1964).
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To ProfessorC. L. Siegel on his 70th birthday
This paper was written while the author, in the capacity of Visiting Professor at the Massachusetts Institute of Technology, was holder of a National Science Foundation Senior Foreign Scientist Fellowship.
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Roth, K.F. Irregularities of sequences relative to arithmetic progressions. Math. Ann. 169, 1–25 (1967). https://doi.org/10.1007/BF01399529
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DOI: https://doi.org/10.1007/BF01399529