On the average number of unitary factors of finite abelian groups

J. Wu

Acta Arithmetica (1998)

  • Volume: 84, Issue: 1, page 17-29
  • ISSN: 0065-1036

How to cite

top

J. Wu. "On the average number of unitary factors of finite abelian groups." Acta Arithmetica 84.1 (1998): 17-29. <http://eudml.org/doc/207131>.

@article{J1998,
author = {J. Wu},
journal = {Acta Arithmetica},
keywords = {unsymmetric divisor functions; unitary factors; finite abelian groups; double exponential sum},
language = {eng},
number = {1},
pages = {17-29},
title = {On the average number of unitary factors of finite abelian groups},
url = {http://eudml.org/doc/207131},
volume = {84},
year = {1998},
}

TY - JOUR
AU - J. Wu
TI - On the average number of unitary factors of finite abelian groups
JO - Acta Arithmetica
PY - 1998
VL - 84
IS - 1
SP - 17
EP - 29
LA - eng
KW - unsymmetric divisor functions; unitary factors; finite abelian groups; double exponential sum
UR - http://eudml.org/doc/207131
ER -

References

top
  1. [1] R. C. Baker and G. Harman, Numbers with a large prime factor, Acta Arith. 73 (1995), 119-145. 
  2. [2] E. Cohen, On the average number of direct factors of a finite abelian group, Acta Arith. 6 (1960), 159-173. Zbl0113.25305
  3. [3] E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333. Zbl0687.10028
  4. [4] S. W. Graham and G. Kolesnik, Van der Corput's Method of Exponential Sums, Cambridge Univ. Press, Cambridge, 1991. Zbl0713.11001
  5. [5] C. H. Jia, The distribution of square-free numbers, Sci. China Ser. A 36 (1993), 154-169. Zbl0772.11033
  6. [6] G. Kolesnik, On the number of abelian groups of a given order, J. Reine Angew. Math. 329 (1981), 164-175. Zbl0467.10035
  7. [7] E. Krätzel, On the average number of direct factors of a finite abelian group, Acta Arith. 51 (1988), 369-379. Zbl0633.10044
  8. [8] H.-Q. Liu, The greatest prime factor of the integers in an interval, Acta Arith. 65 (1993), 302-328. 
  9. [9] H.-Q. Liu, On some divisor problems, Acta Arith. 68 (1994), 193-200. Zbl0817.11043
  10. [10] H.-Q. Liu, Divisor problems of 4 and 3 dimensions, Acta Arith. 73 (1995), 249-269. Zbl0846.11056
  11. [11] P. G. Schmidt, Zur Anzahl unitärer Faktoren abelscher Gruppen, Acta Arith. 64 (1993), 237-248. 
  12. [12] P. Sargos and J. Wu, Multiple exponential sums with monomials and their applications in number theory, Prépublications 97/n°37 de l'Institut Élie Cartan, Université Henri Poincaré (Nancy 1). Zbl0963.11045
  13. [13] J. Wu, On the distribution of square-full and cube-full integers, Monatsh. Math., to appear. Zbl0917.11044

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.