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Some results on generalized multiplicative perfect numbers

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Abstract

In this article, based on ideas and results by Sándor (J Inequal Pure Appl Math 2:Art. 3, 2001; J Inequal Pure Appl Math 5, 2004), we define k-multiplicatively e-perfect numbers and k-multiplicatively e-superperfect numbers and prove some results on them. We also characterize the k-\(T_0T^*\)-perfect numbers defined by Das and Saikia (Notes Number Theory Discrete Math 19:37–42, 2013) in details.

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Acknowledgments

The authors are grateful to an anonymous referee for valuable comments and for pointing them to some references. The second author is grateful to the excellent facilities provided to him by The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy), where this work was initiated.

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Authors and Affiliations

  1. Lycée Professionnel Tristan Corbière, 16 rue de Kerveguen, BP 17149, 29671, Morlaix Cedex, France

    Alexandre Laugier

  2. Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, 1090, Vienna, Austria

    Manjil P. Saikia

  3. Nowgong College, Nagaon, 782001, Assam, India

    Upam Sarmah

Authors
  1. Alexandre Laugier
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  2. Manjil P. Saikia
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  3. Upam Sarmah
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Correspondence to Manjil P. Saikia.

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Laugier, A., Saikia, M.P. & Sarmah, U. Some results on generalized multiplicative perfect numbers. Ann Univ Ferrara 62, 293–312 (2016). https://doi.org/10.1007/s11565-016-0248-9

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  • DOI: https://doi.org/10.1007/s11565-016-0248-9

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