On difference sets of sets of integers

Cam L. Stewart

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1977-1978)

  • Volume: 19, Issue: 1, page 1-8

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Stewart, Cam L.. "On difference sets of sets of integers." Séminaire Delange-Pisot-Poitou. Théorie des nombres 19.1 (1977-1978): 1-8. <http://eudml.org/doc/110996>.

@article{Stewart1977-1978,
author = {Stewart, Cam L.},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {infinite-difference and density-difference sets; difference set; sequences of integers; research survey; positive upper density; lacunary sequences},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Secrétariat mathématique},
title = {On difference sets of sets of integers},
url = {http://eudml.org/doc/110996},
volume = {19},
year = {1977-1978},
}

TY - JOUR
AU - Stewart, Cam L.
TI - On difference sets of sets of integers
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1977-1978
PB - Secrétariat mathématique
VL - 19
IS - 1
SP - 1
EP - 8
LA - eng
KW - infinite-difference and density-difference sets; difference set; sequences of integers; research survey; positive upper density; lacunary sequences
UR - http://eudml.org/doc/110996
ER -

References

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  1. [1] Erdös ( P.) and Sarközy ( A.). - On differences and sums of integers, I, J. Number Theory, to appear. Zbl0404.10029MR515054
  2. [2] Erdös ( P.) and Sarközy ( A.). - On differences and sums of integers, II, to appear. Zbl0413.10049
  3. [3] Freiman ( G.A.). - Foundations of a structural theory of set addition. - Providence, American mathematical Society, 1973 (Translations of mathematical Monographs, 37). Zbl0271.10044MR360496
  4. [4] Furstenberg ( H.). - Ergodic behavior of diagonal measures and a theorem of Szeméredi on arithmetic progressions, J. Analyse math., Jérusalem, t. 31, 1977, p. 204-256. Zbl0347.28016MR498471
  5. [5] Halberstam ( H.) and Roth ( K.). - Sequences. - Oxford, at the Clarendon Press, 1966. Zbl0141.04405MR210679
  6. [6] Heilbronn ( H.). - Zeta-functions and L-functions, "Algebraic number theory [1965. Brighton]", p. 204-230. - London, Academic Press, 1967. MR218327
  7. [7] Kamae ( T.) and Mendes France ( M.). - Van der Corput's difference theorem, Israel J. Math., to appear. Zbl0396.10040
  8. [8] Kuipers ( L.) and Niederreiter ( H.). - Uniform distribution of sequences. - New York, J. Wiley and Sons, 1974 (Pure and applied Mathematics, Wiley-Interscience). Zbl0281.10001MR419394
  9. [9] Ruzsa ( I.Z.). - On difference sequences, Acta Arithm., Warszawa, t. 25, 1974, p. 151-157. Zbl0243.10046MR335430
  10. [10] Ruzsa ( I.Z.). - On difference sets, to appear. Zbl0423.10027
  11. [11] Sarközy ( A.). - On difference sets of sequence of integers, I, Acta math. Acad. Sc. Hung., to appear. Zbl0387.10033MR466059
  12. [12] Sarközy ( A.). - On difference sets of sequences of integers, II, Annales Univ. Sc. Budapest, Eötvös, to appear. Zbl0413.10051MR536201
  13. [13] Sarközy ( A.) . - On difference sets of sequences of integers, III, Acta math. Acad. Sc. Hung., to appear. Zbl0387.10034MR487031
  14. [14] Stewart ( C.L.) and Tijdeman ( R.). - On infinite-difference sets of sequences of positive integers, Canadian J. Math., to appear. MR546946
  15. [15] Stewart ( C.L.) and Tijdeman ( R.). - On density-difference sets of sequences of integers, to appear. 
  16. [16] Tijdeman ( R.). - Distance sets of sequences of integers, Proceedings of a bicentennial conference Wiskundig Genootschap, Math. Centre, Amsterdam, to appear. Zbl0411.10027MR541408

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