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On the Average Value of a Generalized Pillai Function over \( \mathbb{Z} \) [i] in the Arithmetic Progression

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Ukrainian Mathematical Journal Aims and scope

We construct an asymptotics relation for the average value of the generalized Pillai function in the arithmetic progression.

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References

  1. S. S. Pillai, “On an arithmetic function,” J. Annamalai Univ., 2, 243–248 (1937).

    Google Scholar 

  2. O. Bordelles, “A note on the average order of the gcd-sum function,” J. Integer Sequences, 10, Article 07.3.3 (2007).

  3. K. A. Broughan, “The gcd-sum function,” J. Integer Sequences, 4, Article 01.2.2 (2001).

  4. Z. Yu. Dadayan, “Generalized Pillai function,” Vestn. Odes. Nats. Univ., 16, Issue 16 (2011).

  5. A. F. Lavrik, “On the approximate equations for Dirichlet functions,” Izv. Akad. Nauk SSSR, Ser. Mat., 32, No. 1, 134–185 (1968).

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 6, pp. 755–764, June, 2013.

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Varbanets, P.D., Dadayan, Z.Y. On the Average Value of a Generalized Pillai Function over \( \mathbb{Z} \) [i] in the Arithmetic Progression. Ukr Math J 65, 835–846 (2013). https://doi.org/10.1007/s11253-013-0821-7

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  • DOI: https://doi.org/10.1007/s11253-013-0821-7

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