Zeta functions of q-perfect numbers

Nobushige Kurokawa; Masato Wakayama

doi:10.1007/BF02875730

Zeta functions of q-perfect numbers

Nobushige Kurokawa, Masato Wakayama

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Abstract

We introduce a notion of q-analogue of the perfect numbers. We also define a new zeta function which we call a zeta function of q-perfect numbers. In this paper, the properties of the q-perfect numbers and the zeta functions are studied. Especially, we determine the q-perfect numbers when q is a root of unity.

Original language	English
Pages (from-to)	381-389
Number of pages	9
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	53
Issue number	3
DOIs	https://doi.org/10.1007/BF02875730
Publication status	Published - Oct 1 2004

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/BF02875730

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Kurokawa, N., & Wakayama, M. (2004). Zeta functions of q-perfect numbers. Rendiconti del Circolo Matematico di Palermo, 53(3), 381-389. https://doi.org/10.1007/BF02875730

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