On some divisor problems

Hong-Quan Liu

Acta Arithmetica (1994)

  • Volume: 68, Issue: 2, page 193-200
  • ISSN: 0065-1036

How to cite

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Hong-Quan Liu. "On some divisor problems." Acta Arithmetica 68.2 (1994): 193-200. <http://eudml.org/doc/206654>.

@article{Hong1994,
author = {Hong-Quan Liu},
journal = {Acta Arithmetica},
keywords = {asymptotic results; estimations of exponential sums; divisor functions; average order; number of direct and unitary factors of a finite abelian group},
language = {eng},
number = {2},
pages = {193-200},
title = {On some divisor problems},
url = {http://eudml.org/doc/206654},
volume = {68},
year = {1994},
}

TY - JOUR
AU - Hong-Quan Liu
TI - On some divisor problems
JO - Acta Arithmetica
PY - 1994
VL - 68
IS - 2
SP - 193
EP - 200
LA - eng
KW - asymptotic results; estimations of exponential sums; divisor functions; average order; number of direct and unitary factors of a finite abelian group
UR - http://eudml.org/doc/206654
ER -

References

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  1. [1] M. N. Huxley, Exponential sums and lattice points II, Proc. London Math. Soc. 66 (1993), 279-301. Zbl0820.11060
  2. [2] E. Krätzel, On the average number of direct factors of a finite Abelian group, Acta Arith. 51 (1988), 369-379. Zbl0633.10044
  3. [3] H.-Q. Liu, On the number of abelian groups of a given order, Acta Arith. 59 (1991), 261-277. Zbl0737.11024
  4. [4] H.-Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296. 
  5. [5] H.-Q. Liu, The number of squarefull numbers in an interval, Acta Arith. 64 (1993), 129-149. 
  6. [6] H.-Q. Liu, The greatest prime factor of the integers in an interval, Acta Arith. 65 (1993), 301-328. Zbl0797.11071
  7. [7] H.-Q. Liu, The number of cube-full numbers in an interval, Acta Arith. 67 (1994), 1-12. 
  8. [8] H.-Q. Liu, The distribution of 4-full numbers, Acta Arith. 67 (1994), 165-176. 
  9. [9] H. Menzer and R. Seibold, On the average number of direct factors of a finite Abelian group, Monatsh. Math. 110 (1990), 63-72. Zbl0731.11054
  10. [10] P. G. Schmidt, Zur Anzahl unitärer Faktoren abelscher Gruppen, Acta Arith. 64 (1993), 237-248. 

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