"Factorisatio numerorum" in arithmetical semigroups

Arnold Knopfmacher; John Knopfmacher; Richard Warlimont

Acta Arithmetica (1992)

  • Volume: 61, Issue: 4, page 327-336
  • ISSN: 0065-1036

How to cite

top

Arnold Knopfmacher, John Knopfmacher, and Richard Warlimont. ""Factorisatio numerorum" in arithmetical semigroups." Acta Arithmetica 61.4 (1992): 327-336. <http://eudml.org/doc/206470>.

@article{ArnoldKnopfmacher1992,
author = {Arnold Knopfmacher, John Knopfmacher, Richard Warlimont},
journal = {Acta Arithmetica},
keywords = {factorisatio numerorum; additive arithmetical semigroups; free commutative semigroups; total number of factorizations},
language = {eng},
number = {4},
pages = {327-336},
title = {"Factorisatio numerorum" in arithmetical semigroups},
url = {http://eudml.org/doc/206470},
volume = {61},
year = {1992},
}

TY - JOUR
AU - Arnold Knopfmacher
AU - John Knopfmacher
AU - Richard Warlimont
TI - "Factorisatio numerorum" in arithmetical semigroups
JO - Acta Arithmetica
PY - 1992
VL - 61
IS - 4
SP - 327
EP - 336
LA - eng
KW - factorisatio numerorum; additive arithmetical semigroups; free commutative semigroups; total number of factorizations
UR - http://eudml.org/doc/206470
ER -

References

top
  1. [1] E. R. Canfield, P. Erdős and C. Pomerance, On a problem of Oppenheim concerning 'factorisatio numerorum', J. Number Theory 17 (1983), 1-28. Zbl0513.10043
  2. [2] L. Kalmár, Über die mittlere Anzahl der Produktdarstellungen der Zahlen, Acta Litt. Sci. Szeged 5 (1931), 95-107. Zbl57.1365.02
  3. [3] J. Knopfmacher, Abstract Analytic Number Theory, North-Holland/Elsevier, 1975; Dover, 1990. Zbl0322.10001
  4. [4] J. Knopfmacher, Analytic Arithmetic of Algebraic Function Fields, Dekker, 1979. Zbl0411.10001
  5. [5] A. Oppenheim, On an arithmetic function, J. London Math. Soc. 1 (1926), 205-211 and 2 (1927), 123-130. Zbl52.0163.02
  6. [6] G. J. Rieger, Über die Anzahl der Produktzerlegungen ganzer Zahlen, Math. Z. 76 (1961), 226-234. Zbl0115.26307
  7. [7] G. Szekeres and P. Turán, Über das zweite Hauptproblem der 'Factorisatio Numerorum', Acta Litt. Sci. Szeged 6(1933), 143-154. Zbl59.0948.05

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.