Pacific Journal of Mathematics

Problems and results on additive properties of general sequences. I.

P. Erdős and A. Sárközy

Article information

Source
Pacific J. Math., Volume 118, Number 2 (1985), 347-357.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102706443

Mathematical Reviews number (MathSciNet)
MR789175

Zentralblatt MATH identifier
0569.10032

Subjects
Primary: 11B34: Representation functions
Secondary: 11B13: Additive bases, including sumsets [See also 05B10]

Citation

Erdős, P.; Sárközy, A. Problems and results on additive properties of general sequences. I. Pacific J. Math. 118 (1985), no. 2, 347--357. https://projecteuclid.org/euclid.pjm/1102706443


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References

  • [1] P. Erds, Problems and results in additive number theory, Colloque sur la Theorie des Nombres (CBRM) (Bruxelles, 1956), 127-137.
  • [2] P. Erds and A. Renyi, Additive properties of random sequences of positive integers, Acta Arithmetica,6 (1960), 83-110.
  • [3] H. Halaberstam and K. F. Roth, Sequences, Springer-Verlag, 1983.

See also

  • P. Erdős, A. Sárközy. Problems and results on additive properties of general sequences. {II}. II [MR 88c:11016] Acta Math. Hungar. 48 1986 1-2 201--211.
  • P. Erdős, A. Sárközy, V. T. S{ó}s. Problems and results on additive properties of general sequences. {III}. III [MR 89b:11015] Studia Sci. Math. Hungar. 22 1987 1-4 53--63.
  • P. Erdős, A. Sárközy, V. T. S{ó}s. Problems and results on additive properties of general sequences. {IV}. IV [MR 88i:11011a] Number theory (Ootacamund, 1984) Lecture Notes in Math. 1122 85--104 Springer Berlin 1985.
  • P. Erdős, A. Sárközy, V. T. S{ó}s. Problems and results on additive properties of general sequences. V. [MR 88i:11011b] Erd{\H{o}}s, P., S{a}rk{\"o}zy, A. and S{o}s, V. T. Problems and results on additive properties of general sequences. V Monatsh. Math. 102 1986 3 183--197.