# On the quotient sequence of sequences of integers

Rudolf Ahlswede; Levon H. Khachatrian; András Sárközy

Acta Arithmetica (1999)

- Volume: 91, Issue: 2, page 117-132
- ISSN: 0065-1036

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topRudolf Ahlswede, Levon H. Khachatrian, and András Sárközy. "On the quotient sequence of sequences of integers." Acta Arithmetica 91.2 (1999): 117-132. <http://eudml.org/doc/207343>.

@article{RudolfAhlswede1999,

author = {Rudolf Ahlswede, Levon H. Khachatrian, András Sárközy},

journal = {Acta Arithmetica},

keywords = {quotient set of a set; infinite quotient set; lower density; upper logarithmic density},

language = {eng},

number = {2},

pages = {117-132},

title = {On the quotient sequence of sequences of integers},

url = {http://eudml.org/doc/207343},

volume = {91},

year = {1999},

}

TY - JOUR

AU - Rudolf Ahlswede

AU - Levon H. Khachatrian

AU - András Sárközy

TI - On the quotient sequence of sequences of integers

JO - Acta Arithmetica

PY - 1999

VL - 91

IS - 2

SP - 117

EP - 132

LA - eng

KW - quotient set of a set; infinite quotient set; lower density; upper logarithmic density

UR - http://eudml.org/doc/207343

ER -

## References

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- [8] P. Erdős, A. Sárközy and E. Szemerédi, On divisibility properties of sequences of integers, in: Colloq. Math. Soc. János Bolyai 2, 1970, 35-49. Zbl0212.39704
- [9] H. Halberstam and K. F. Roth, Sequences, Springer, Berlin, 1983.
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- [11] J. Kubilius, Probabilistic Methods in the Theory of Numbers, Amer. Math. Soc. Transl. Math. Monographs 11, Providence, 1964. Zbl0133.30203
- [12] C. Pomerance and A. Sárközy, On homogeneous multiplicative hybrid problems in number theory, Acta Arith. 49 (1988), 291-302.
- [13] A. Sárközy, On divisibility properties of sequences of integers, in: The Mathematics of Paul Erdős, Vol. I, R. L. Graham and J. Nešetřil (eds.), Algorithms Combin. 13, Springer, 1997, 241-250. Zbl0868.11011
- [14] L. G. Sathe, On a problem of Hardy on the distribution of integers having given number of prime factors, J. Indian Math. Soc. 17 (1953), 63-141; and 18 (1954), 27-81. Zbl0051.28008
- [15] A. Selberg, Note on a paper by L. G. Sathe, J. Indian Math. Soc. 18 (1954), 83-87.

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