On the number-theoretic functions ν(n) and Ω(n)

Jiahai Kan

Acta Arithmetica (1996)

  • Volume: 78, Issue: 1, page 91-97
  • ISSN: 0065-1036

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Jiahai Kan. "On the number-theoretic functions ν(n) and Ω(n)." Acta Arithmetica 78.1 (1996): 91-97. <http://eudml.org/doc/206934>.

@article{JiahaiKan1996,
author = {Jiahai Kan},
journal = {Acta Arithmetica},
keywords = {limit point; consecutive integers; number of prime factors; sieve theorems},
language = {eng},
number = {1},
pages = {91-97},
title = {On the number-theoretic functions ν(n) and Ω(n)},
url = {http://eudml.org/doc/206934},
volume = {78},
year = {1996},
}

TY - JOUR
AU - Jiahai Kan
TI - On the number-theoretic functions ν(n) and Ω(n)
JO - Acta Arithmetica
PY - 1996
VL - 78
IS - 1
SP - 91
EP - 97
LA - eng
KW - limit point; consecutive integers; number of prime factors; sieve theorems
UR - http://eudml.org/doc/206934
ER -

References

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  1. [1] P. Erdős and L. Mirsky, The distribution of the values of the divisor function dn, Proc. London Math. Soc. (3) 2 (1952), 257-271. Zbl0047.04602
  2. [2] P. Erdős, C. Pomerance and A. Sárközy, On locally repeated values of certain arithmetic functions II, Acta Math. Hungar. 49 (1987), 251-259. Zbl0609.10034
  3. [3] H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London, 1974. Zbl0298.10026
  4. [4] D. R. Heath-Brown, The divisor function at consecutive integers, Mathematika 31 (1984), 141-149. Zbl0529.10040
  5. [5] A. Hildebrand, The divisor function at consecutive integers, Pacific J. Math. 129 (1987), 307-319. Zbl0591.10035
  6. [6] J. Kan, On the lower bound sieve, Mathematika 37 (1990), 273-286. Zbl0717.11037

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