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Cesaro averages of Euler-like functions

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Functional Analysis and Other Mathematics

Abstract

By Euler-like function we mean a function defined on the positive integers and associating with n the product, over all primes p dividing n, of 1 plus (or minus) the inverse of p to the power s. We calculate the limit of the Cesaro means of these functions.

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References

  1. Arnold VI (2009) Perestanovki. Uspekhi Mat Nauk, vol 1 (Permutations, Russian Math Surveys, vol 1, 2009), to appear

  2. Hardy GH, Wright EM (2008) An introduction to the theory of numbers, 6th edn. Oxford Univ Press, Oxford

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  3. Montgomery HL, Vaughan RC (2007) Multiplicative number theory. I. Classical theory. Cambridge Stud Adv Math, vol 97. Cambridge Univ Press, Cambridge

    MATH  Google Scholar 

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Authors and Affiliations

  1. Sistiana Mare 56 pr, 34019, Trieste, Italy

    Francesca Aicardi

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  1. Francesca Aicardi
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Correspondence to Francesca Aicardi.

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Aicardi, F. Cesaro averages of Euler-like functions. Funct. Anal. Other Math. 3, 85–89 (2010). https://doi.org/10.1007/s11853-008-0030-3

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  • DOI: https://doi.org/10.1007/s11853-008-0030-3

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