# On sums involving reciprocals of the largest prime factor of an integer II

Acta Arithmetica (1995)

- Volume: 71, Issue: 3, page 229-251
- ISSN: 0065-1036

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topAleksandar Ivić. "On sums involving reciprocals of the largest prime factor of an integer II." Acta Arithmetica 71.3 (1995): 229-251. <http://eudml.org/doc/206771>.

@article{AleksandarIvić1995,

author = {Aleksandar Ivić},

journal = {Acta Arithmetica},

keywords = {sums involving reciprocals; largest prime factor of an integer; Riemann hypothesis; asymptotic formulas; Dickman function},

language = {eng},

number = {3},

pages = {229-251},

title = {On sums involving reciprocals of the largest prime factor of an integer II},

url = {http://eudml.org/doc/206771},

volume = {71},

year = {1995},

}

TY - JOUR

AU - Aleksandar Ivić

TI - On sums involving reciprocals of the largest prime factor of an integer II

JO - Acta Arithmetica

PY - 1995

VL - 71

IS - 3

SP - 229

EP - 251

LA - eng

KW - sums involving reciprocals; largest prime factor of an integer; Riemann hypothesis; asymptotic formulas; Dickman function

UR - http://eudml.org/doc/206771

ER -

## References

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- [3] J.-M. De Koninck and A. Ivić, Topics in Arithmetical Functions, Math. Stud. 43, North-Holland, Amsterdam, 1980.
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- [6] A. Hildebrand, On the number of positive integers ≤x and free of prime factors >y, J. Number Theory 22 (1986), 289-307. Zbl0575.10038
- [7] A. Hildebrand and G. Tenenbaum, On a class of differential-difference equations arising in number theory, to appear. Zbl0797.11072
- [8] A. Ivić, Sum of reciprocals of the largest prime factor of an integer, Arch. Math. (Basel) 36 (1981), 57-61.
- [9] A. Ivić, On some estimates involving the number of prime divisors of an integer, Acta Arith. 49 (1987), 21-33.
- [10] A. Ivić and C. Pomerance, Estimates for certain sums involving the largest prime factor of an integer, in: Topics in Classical Number Theory, Colloq. Math. Soc. János Bolyai 34, North-Holland, Amsterdam, 1984, 769-789.
- [11] E. Saias, Sur le nombre des entiers sans grand facteur premier, J. Number Theory 32 (1989), 78-99. Zbl0676.10028
- [12] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Inst. Élie Cartan 13, Université de Nancy, 1990.
- [13] T. Z. Xuan, Estimates of certain sums involving reciprocals of the largest prime factor of an integer, J. Beijing Normal Univ. (N.S.) 1 (1988), 11-16 (in Chinese). Zbl0684.10045
- [14] T. Z. Xuan, On sums involving reciprocals of certain large additive functions, Publ. Inst. Math. (Belgrade) 45 (59) (1989), 41-55 and II, Publ. Inst. Math. (Belgrade) 46 (60) (1989), 25-32.

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