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Multiperfect Numbers in Certain Quadratic Rings - MaRDI portal

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Multiperfect Numbers in Certain Quadratic Rings

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Publication:2960868

zbMATH Open1385.11065arXiv1506.05411MaRDI QIDQ2960868

Author name not available (Why is that?)

Publication date: 17 February 2017

Abstract: Using an extension of the abundancy index to imaginary quadratic rings that are unique factorization domains, we investigate what we call n-powerfully t-perfect numbers in these rings. This definition serves to extend the concept of multiperfect numbers that have been defined and studied in the integers. At the end of the paper, as well as at various points throughout the paper, we point to some potential areas for further research.


Full work available at URL: https://arxiv.org/abs/1506.05411



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