Averages of Arithmetical Functions

  • Tom M. Apostol
Part of the Undergraduate Texts in Mathematics book series (UTM)


The last chapter discussed various identities satisfied by arithmetical functions such as µ(n), ϕ(n), Λ(n), and the divisor functions σ a (n). We now inquire about the behavior of these and other arithmetical functions f(n) for large values of n.


Lattice Point Asymptotic Formula Average Order Arithmetical Function Great Integer 


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Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • Tom M. Apostol
    • 1
  1. 1.Department of MathematicsCalifornia Institute of TechnologyPasadenaUSA

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