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 | |
| Publication status | Published - Oct 1 2004 |
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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 journal › Article
}
TY - JOUR
T1 - Zeta functions of q-perfect numbers
AU - Kurokawa, Nobushige
AU - Wakayama, Masato
PY - 2004/10/1
Y1 - 2004/10/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84859812572&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84859812572&partnerID=8YFLogxK
U2 - 10.1007/BF02875730
DO - 10.1007/BF02875730
M3 - Article
AN - SCOPUS:84859812572
VL - 53
SP - 381
EP - 389
JO - Rendiconti del Circolo Matematico di Palermo
JF - Rendiconti del Circolo Matematico di Palermo
SN - 0009-725X
IS - 3
ER -