MathGroup Archive 2001

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Dirichlet generating function

  • To: mathgroup at
  • Subject: [mg26551] Dirichlet generating function
  • From: "Arnold Knopfmacher" <arnoldk at>
  • Date: Fri, 5 Jan 2001 00:34:02 -0500 (EST)
  • Organization: MS, University of the Witwatersrand
  • Sender: owner-wri-mathgroup at

I wish to expand the product 
Product[1/(1-n^(-s)),{n,2,12}] to obtain output in the form of a Dirichlet series,

(The coefficients of m^(-s) in the above series give the number of
factorizations of m into factors greater than 1. E.g. 12 can be factored
in 4 ways, as 12 or 6*2 or 4*3 or 3*2*2).


Arnold Knopfmacher
Dept of Computational and Applied Maths
Witwatersrand University
Johannesburg 2050
South Africa
Fax: 2711-4039317
Phone: 2711- 717-6121
email: arnoldk at

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