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

Acta Arithmetica (1996)

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

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top## How to cite

topJiahai 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

top- [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] 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] H. Halberstam and H.-E. Richert, Sieve Methods, Academic Press, London, 1974. Zbl0298.10026
- [4] D. R. Heath-Brown, The divisor function at consecutive integers, Mathematika 31 (1984), 141-149. Zbl0529.10040
- [5] A. Hildebrand, The divisor function at consecutive integers, Pacific J. Math. 129 (1987), 307-319. Zbl0591.10035
- [6] J. Kan, On the lower bound sieve, Mathematika 37 (1990), 273-286. Zbl0717.11037

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