The number of cube-full numbers in an interval

Hong-Quan Liu

Acta Arithmetica (1994)

  • Volume: 67, Issue: 1, page 1-12
  • ISSN: 0065-1036

How to cite

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Hong-Quan Liu. "The number of cube-full numbers in an interval." Acta Arithmetica 67.1 (1994): 1-12. <http://eudml.org/doc/206615>.

@article{Hong1994,
author = {Hong-Quan Liu},
journal = {Acta Arithmetica},
keywords = {distribution of powerful integers; divisor functions; remainder term; number of cube-full integers; short intervals; double exponential sums},
language = {eng},
number = {1},
pages = {1-12},
title = {The number of cube-full numbers in an interval},
url = {http://eudml.org/doc/206615},
volume = {67},
year = {1994},
}

TY - JOUR
AU - Hong-Quan Liu
TI - The number of cube-full numbers in an interval
JO - Acta Arithmetica
PY - 1994
VL - 67
IS - 1
SP - 1
EP - 12
LA - eng
KW - distribution of powerful integers; divisor functions; remainder term; number of cube-full integers; short intervals; double exponential sums
UR - http://eudml.org/doc/206615
ER -

References

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  1. [1] E. Krätzel, Zweifache Exponentialsummen und dreidimensionale Gitterpunktprobleme, in: Elementary and Analytic Theory of Numbers, Banach Center Publ. 17, PWN-Polish Scientific Publishers, Warszawa, 1985, 337-369. 
  2. [2] H.-Q. Liu, On the number of abelian groups of a given order, Acta Arith. 59 (1991), 261-277. Zbl0737.11024
  3. [3] H.-Q. Liu, The number of squarefull numbers in an interval, Acta Arith. 64 (1993), 129-149. 
  4. [4] H.-Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296. 
  5. [5] S. H. Min, Methods in Number Theory, Vol. 2, Science Press, 1981 (in Chinese). Zbl0649.10001
  6. [6] P. G. Schmidt, Zur Anzahl Abelscher Gruppen gegebener Ordnung, J. Reine Angew. Math. 229 (1968), 34-42. Zbl0155.08803
  7. [7] P. Shiu, The distribution of cube-full numbers, Glasgow Math. J. 33 (1991), 287-295. Zbl0732.11044

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