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book chapter · 1993

Ordered Factorizations for Integers and Arithmetical Semigroups

Arnold Knopfmacher, John Knopfmacher, Richard Warlimont

Cited by 4Abstract and details only

Abstract

Abstract The classical problems of “factorisatio numerorum” concern (i) the total number of ordered factorizations of a natural number n > 1 into products of natural numbers larger than 1, and (ii) the corresponding total number of unordered factorizations of the same type. Results of this nature can be found, for example, in [l], [7], [12] and the references therein. Recently, in [8], the present authors considered the analogous problems within the context of additive arithmetical semigroups as treated in the monographs [10], [11].

Cite this paper

APA 7

Knopfmacher, A., Knopfmacher, J., & Warlimont, R. (1993). Ordered Factorizations for Integers and Arithmetical Semigroups. https://doi.org/10.1093/oso/9780198536680.003.0010

MLA 9

Knopfmacher, Arnold, et al. “Ordered Factorizations for Integers and Arithmetical Semigroups.” 1993, pp. 151–65, https://doi.org/10.1093/oso/9780198536680.003.0010.

Chicago

Knopfmacher, Arnold, John Knopfmacher, and Richard Warlimont. 1993. “Ordered Factorizations for Integers and Arithmetical Semigroups.” https://doi.org/10.1093/oso/9780198536680.003.0010.

Harvard

Knopfmacher, A., Knopfmacher, J. and Warlimont, R. (1993) ‘Ordered Factorizations for Integers and Arithmetical Semigroups’. Available at: https://doi.org/10.1093/oso/9780198536680.003.0010.

BibTeX
@incollection{knopfmacher1993ordered,
  title = {{Ordered Factorizations for Integers and Arithmetical Semigroups}},
  author = {Knopfmacher, Arnold and Knopfmacher, John and Warlimont, Richard},
  pages = {151--165},
  year = {1993},
  doi = {10.1093/oso/9780198536680.003.0010}
}

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