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16 - The Arithmetical Functions

Table of contents

  • 16.1 The Function \phi(n)
  • 16.2 A Further Proof of Theorem 63
  • 16.3 The Mobius Function
  • 16.4 The Mobius Inversion Formula
  • 16.5 Further Inversion Formulae
  • 16.6 Evaluations of Ramenujan’s Sum
  • 16.7 The Functions d(n) and \sigma_k(n)
  • 16.8 Perfect Numbers
  • 16.9 The Function r(n)
  • 16.10 Proof of the Formula for r(n)

16.1 The Function ϕ(n)

16.2 A Further Proof of Theorem 63

16.3 The Mobius Function

16.4 The Mobius Inversion Formula

16.5 Further Inversion Formulae

16.6 Evaluations of Ramenujan’s Sum

16.7 The Functions d(n) and σk​(n)

16.8 Perfect Numbers

16.9 The Function r(n)

16.10 Proof of the Formula for r(n)


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