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On the iterates of some arithmetic functions

Part of the Lecture Notes in Mathematics book series (LNM,volume 251)

Keywords

  • Distribution Function
  • Positive Integer
  • Small Integer
  • Similar Question
  • Hungarian Academy

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References

  1. E. Cohen, Arithmetic functions associated with the unitary divisors of an integer, Math. Z. 74 (1960), 66–80.

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  2. P. Erdös, Some remarks on the iterates of the ϕ and σ functions, Colloq. Math. 17 (1967), 195–202.

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  3. A. Makowski and A. Schinzel, On the functions ϕ(n) and σ(n), Colloq. Math. 13 (1964), 95–99.

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  4. I. Niven, The iteration of arithmetic functions, Canad. J. Math. 2 (1950) 406–408.

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  5. S. S. Pillai, On a function connected with ϕ(n), Bull. Amer. Math. Soc. (1929), 837–841.

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  6. K. Prachar, Primzahlverteilung, Springer-Verlag, Berlin, 1957.

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  7. H. N. Shapiro, On the iterates of a certain class of arithmetic functions, Comm. Pure Appl. Math. 3 (1950), 259–272.

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  8. M. V. Subbarao, On a function connected with ϕ(n), J. Madras Univ. B. 27 (1957), 327–333.

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© 1972 Springer-Verlag

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Erdös, P., Subbarao, M.V. (1972). On the iterates of some arithmetic functions. In: Gioia, A.A., Goldsmith, D.L. (eds) The Theory of Arithmetic Functions. Lecture Notes in Mathematics, vol 251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058789

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  • DOI: https://doi.org/10.1007/BFb0058789

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05723-9

  • Online ISBN: 978-3-540-37098-7

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