"Factorisatio numerorum" in arithmetical semigroups

Arnold Knopfmacher; John Knopfmacher; Richard Warlimont

Acta Arithmetica (1992)

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

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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

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  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

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