Remarks on the ( R ) -density of sets of numbers. II

József Bukor; Pál Erdös; Tibor Šalát; János T. Tóth

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 5, page 517-526
  • ISSN: 0232-0525

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Bukor, József, et al. "Remarks on the $(R)$-density of sets of numbers. II." Mathematica Slovaca 47.5 (1997): 517-526. <http://eudml.org/doc/34464>.

@article{Bukor1997,
author = {Bukor, József, Erdös, Pál, Šalát, Tibor, Tóth, János T.},
journal = {Mathematica Slovaca},
keywords = {ratio set; dense set; -density},
language = {eng},
number = {5},
pages = {517-526},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Remarks on the $(R)$-density of sets of numbers. II},
url = {http://eudml.org/doc/34464},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Bukor, József
AU - Erdös, Pál
AU - Šalát, Tibor
AU - Tóth, János T.
TI - Remarks on the $(R)$-density of sets of numbers. II
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 5
SP - 517
EP - 526
LA - eng
KW - ratio set; dense set; -density
UR - http://eudml.org/doc/34464
ER -

References

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  1. BAKER R. C.-HARMAN G., The difference between consecutive primes, Proc. London Math. Soc. 72 (1996), 261-280. (1996) Zbl0853.11076MR1367079
  2. BUKOR J.-ŠALÁT T.-TOTH J. T., Remarks on (R)-density of sets of numbers, Tatra Mt. Math. Publ. 11 (1997), 159-165. (1997) Zbl0978.11003MR1475512
  3. NARKIEWICZ W.-ŠALÁT T., A theorem of H. Steinhaus and (R)-dense sets of positive integers, Czechoslovak Math. J. 34(109) (1984), 355-361. (1984) Zbl0557.10039MR0761418
  4. PRACHAR V. K., Primzahlverteilung, Springer-Verlag, Berlin, 1957. [Russian translation: Izd. Mir, Moskva, 1967]. (1957) Zbl0080.25901MR0087685
  5. SCHINZEL A., Remarks on the paper "Sur certaines hypothéses concernant les nombres premiers", Acta Arith. VII (1961), 1-8. (1961) Zbl0101.27902MR0130203
  6. SIERPIŃSKI W., Elementary Theory of Numbers, PWN, Warszawa, 1964. (1964) Zbl0122.04402MR0175840
  7. ŠALÁT T., On ratio sets of sets of natural numbers, Acta Arith. XV (1969), 273-278. (1969) Zbl0177.07001MR0242756
  8. ŠALÁT T., Quotientbasen und (R)-dichte Mengen, Acta Arith. XIX (1971), 63-78. (1971) Zbl0218.10071MR0292788
  9. TÓTH J. T.-ZSILINSZKY L., On density of ratio sets of powers of primes, Nieuw Arch. Wisk. (4) (1995), 205-208. (1995) Zbl0837.11009MR1345571

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