On the largest prime factor of integers

Chaohua Jia; Ming-Chit Liu

Acta Arithmetica (2000)

  • Volume: 95, Issue: 1, page 17-48
  • ISSN: 0065-1036

How to cite

top

Jia, Chaohua, and Liu, Ming-Chit. "On the largest prime factor of integers." Acta Arithmetica 95.1 (2000): 17-48. <http://eudml.org/doc/207438>.

@article{Jia2000,
author = {Jia, Chaohua, Liu, Ming-Chit},
journal = {Acta Arithmetica},
language = {eng},
number = {1},
pages = {17-48},
title = {On the largest prime factor of integers},
url = {http://eudml.org/doc/207438},
volume = {95},
year = {2000},
}

TY - JOUR
AU - Jia, Chaohua
AU - Liu, Ming-Chit
TI - On the largest prime factor of integers
JO - Acta Arithmetica
PY - 2000
VL - 95
IS - 1
SP - 17
EP - 48
LA - eng
UR - http://eudml.org/doc/207438
ER -

References

top
  1. [1] A. Balog, Numbers with a large prime factor, Studia Sci. Math. Hungar. 15 (1980), 139-146. Zbl0445.10033
  2. [2] A. Balog, Numbers with a large prime factor II, in: Topics in Classical Number Theory, Colloq. Math. Soc. János Bolyai 34, Elsevier, North-Holland, Amsterdam, 1984, 49-67. 
  3. [3] A. Balog, G. Harman and J. Pintz, Numbers with a large prime factor IV, J. London Math. Soc. (2) 28 (1983), 218-226. Zbl0514.10034
  4. [4] J.-M. Deshouillers and H. Iwaniec, Power mean-values for Dirichlet's polynomials and the Riemann zeta-function, II, Acta Arith. 43 (1984), 305-312. 
  5. [5] G. Harman, On the distribution of αp modulo one, J. London Math. Soc. (2) 27 (1983), 9-18. Zbl0504.10018
  6. [6] G. Harman, On the distribution of αp modulo one II, Proc. London Math. Soc. (3) 72 (1996), 241-260. Zbl0874.11052
  7. [7] D. R. Heath-Brown, The largest prime factor of the integers in an interval, Sci. China Ser. A 26 (1996), 385-411 (in Chinese); Sci. China Ser. A 39 (1996), 449-476. 
  8. [8] D. R. Heath-Brown and C. Jia, The largest prime factor of the integers in an interval, II, J. Reine Angew. Math. 498 (1998), 35-59. Zbl1066.11506
  9. [9] C. Jia, On the distribution of αp modulo one, J. Number Theory 45 (1993), 241-253. Zbl0786.11042
  10. [10] C. Jia, On the distribution of αp modulo one, II, preprint. 
  11. [11] M. Jutila, On numbers with a large prime factor, J. Indian Math. Soc. (N.S.) 37 (1973), 43-53. Zbl0293.10023

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.