On 5 -tuples of twin practical numbers

Giuseppe Melfi

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 3, page 723-734
  • ISSN: 0392-4041

How to cite

top

Melfi, Giuseppe. "On $5$-tuples of twin practical numbers." Bollettino dell'Unione Matematica Italiana 2-B.3 (1999): 723-734. <http://eudml.org/doc/194595>.

@article{Melfi1999,
author = {Melfi, Giuseppe},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {practical numbers},
language = {eng},
month = {10},
number = {3},
pages = {723-734},
publisher = {Unione Matematica Italiana},
title = {On $5$-tuples of twin practical numbers},
url = {http://eudml.org/doc/194595},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Melfi, Giuseppe
TI - On $5$-tuples of twin practical numbers
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/10//
PB - Unione Matematica Italiana
VL - 2-B
IS - 3
SP - 723
EP - 734
LA - eng
KW - practical numbers
UR - http://eudml.org/doc/194595
ER -

References

top
  1. ERDÖS, P., On a Diophantine equation, Mat. Lapok, 1 (1950), 192-210. MR43117
  2. ERDÖS, P., personal communication, 1996 III 19. 
  3. HARDY, G. H.- WRIGHT, E. M., An Introduction to the Theory of Numbers, Clarendon Press, Oxford (1980). Zbl0423.10001
  4. HAUSMAN, M.- SHAPIRO, H. N., On practical numbers, Comm. Pure Appl. Math., 37 (1984), 705-713. Zbl0544.10005MR752596
  5. MARGENSTERN, M., Results and conjectures about practical numbers, C. R. Acad. Sc. Paris, 299 (1984), 895-898. Zbl0572.10007
  6. MARGENSTERN, M., Les nombres pratiques: théorie, observations et conjectures, J. Number Theory, 37 (1991), 1-36. Zbl0715.11001MR1089787
  7. MELFI, G., On two conjectures about practical numbers, J. Number Theory, 56 (1996), 205-210. Zbl0848.11002MR1370203
  8. MELFI, G., A survey on practical numbers, Rend. Sem. Mat. Uni. Pol. Torino, 53 (1995), 347-359. Zbl0873.11010MR1452391
  9. RICHTER, B., Eine Abschätzung der Werte der Kreisteilungspolynome für reelles Argument, J. Reine. Angew. Math., 267 (1974), 74-76. Zbl0234.10009MR340170
  10. SAIAS, E., Entiers à diviseurs denses 1, J. Number Theory, 62 (1997), 163-191. Zbl0872.11039MR1430008
  11. SRINIVASAN, A. K., Practical numbers, Curr. Sci., 6 (1948), 179-180. MR27799
  12. STEWART, B. M., Sums of distinct divisors, Amer. J. Math., 76 (1954), 779-785. Zbl0056.27004MR64800
  13. TENENBAUM, G., Sur un problème de crible et ses applications, Ann. Sci. Ec. Norm. Sup. (4), 19 (1986), 1-30. Zbl0599.10037MR860809
  14. TENENBAUM, G., Sur un problème de crible et ses applications, 2. Corrigendum et étude du graphe divisoriel, Ann. Sci. Ec. Norm. Sup. (4), 28 (1995), 115-127. Zbl0852.11048MR1318066

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.