Zeta functions of q-perfect numbers

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)381-389
Number of pages9
JournalRendiconti del Circolo Matematico di Palermo
Volume53
Issue number3
DOIs
Publication statusPublished - Oct 1 2004

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Perfect number
Riemann zeta function
Q-analogue
Roots of Unity

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Zeta functions of q-perfect numbers. / Kurokawa, Nobushige; Wakayama, Masato.

In: Rendiconti del Circolo Matematico di Palermo, Vol. 53, No. 3, 01.10.2004, p. 381-389.

Research output: Contribution to journalArticle

Kurokawa, Nobushige ; Wakayama, Masato. / Zeta functions of q-perfect numbers. In: Rendiconti del Circolo Matematico di Palermo. 2004 ; Vol. 53, No. 3. pp. 381-389.
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