On some properties of dispersion of block sequences of positive integers

János T. Tóth; Ladislav Mišík; Ferdinand Filip

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 5, page 453-464
  • ISSN: 0139-9918

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Tóth, János T., Mišík, Ladislav, and Filip, Ferdinand. "On some properties of dispersion of block sequences of positive integers." Mathematica Slovaca 54.5 (2004): 453-464. <http://eudml.org/doc/32419>.

@article{Tóth2004,
author = {Tóth, János T., Mišík, Ladislav, Filip, Ferdinand},
journal = {Mathematica Slovaca},
keywords = {asymptotic density; block sequences; dispersion; ratio set},
language = {eng},
number = {5},
pages = {453-464},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On some properties of dispersion of block sequences of positive integers},
url = {http://eudml.org/doc/32419},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Tóth, János T.
AU - Mišík, Ladislav
AU - Filip, Ferdinand
TI - On some properties of dispersion of block sequences of positive integers
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 5
SP - 453
EP - 464
LA - eng
KW - asymptotic density; block sequences; dispersion; ratio set
UR - http://eudml.org/doc/32419
ER -

References

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  1. MISÍK L.-TÓTH J. T., Logarithmic density of sequence of integers and density of its ratio set, Journal de Théor. Nombres Bordeaux 15 (2003), 309-318. MR2019018
  2. NIEDERREITER L., On a measure of denseness for sequences, In: Topics in Classical Number Theory, Vol. I, II (Budapest 1981) (G. Halász, ed.), Colloq. Math. Soc. János Bolyai 34, Nort-Holland Publishing Co., Amsterdam-New York, 1984, pp. 1163-1208. (1981) MR0781180
  3. STRAUCH O.-TÓTH J. T., Asymptotic density of A C ℕ and density of the ratio set R ( A ) , Acta Arith. 87 (1998), 67-78. (1998) MR1659159
  4. STRAUCH O.-TÓTH J. T., Distribution functions of ratio sequences, Publ. Math. Debrecen 58 (2001), 751-778. Zbl1183.11042MR1828725
  5. ŠALÁT T., On ratio sets of sets of natural numbers, Acta Arith. 15 (1969), 273 278. (1969) Zbl0177.07001MR0242756
  6. ŠALÁT T., Quotientbasen und (R)-dichte mengen, Acta Arith. 19 (1971), 63-78. (1971) Zbl0218.10071MR0292788

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